Solving Quadratic Equations by Factoring - Concept

Concept Concept (1)

Solving rational equations is substantially easier with like denominators. When solving rational equations, first multiply every term in the equation by the common denominator so the equation is "cleared" of fractions. Next, use an appropriate technique for solving for the variable.

Sample Sample Problems (21)

Need help with "Solving Quadratic Equations by Factoring" problems? Watch expert teachers solve similar problems to develop your skills.

Solving Quadratic Equations by Factoring - Problem 1

Solve by factoring:

x² + 4x = 0
Problem 1
How to solve quadratic equations by factoring when one factor is x.
Solving Quadratic Equations by Factoring - Problem 2

Solve by factoring:

x² + 2x = 15
Problem 2
How to solve quadratic equations by factoring if the equation is not in standard form.
Solving Quadratic Equations by Factoring - Problem 3

Solve by factoring:

x² + 6x + 9 = 0
Problem 3
How to solve quadratic equations by factoring if there is only one solution.
Solving Quadratic Equations by Factoring - Problem 4

Solve by factoring:

-3x² − 18x = 27
Problem 4
How to solve quadratic equations by factoring by simplifying coefficients.
Solving Quadratic Equations by Factoring - Problem 5
Problem 5
How to solve projectile motion problems using the quadratic function.
Solving Quadratic Equations by Factoring - Problem 6
Problem 6
How to solve a quadratic equation by factoring when the leading coefficient is not one.
Solving Quadratic Equations by Factoring - Problem 7
Problem 7
How to solve quadratic equations by factoring the difference of perfect squares.
Solving Quadratic Equations by Factoring - Problem 8
Problem 8
How to solve a quadratic equation by factoring when the leading coefficient is one.
Solving Quadratic Equations by Factoring - Problem 9
Problem 9
Factoring by grouping to solve polynomial equations.
Solving Quadratic Equations by Factoring - Problem 10
Problem 10
Finding the dimensions of a box if you know the volume.
Solving Quadratic Equations by Factoring - Problem 11
Problem 11
How to solve quadratic equations by expanding, writing in standard form, and factoring.
Solving Quadratic Equations by Factoring - Problem 12
Problem 12
How to solve geometric relationships using area models, the Pythagorean Theorem, and factoring.
Solving Quadratic Equations by Factoring - Problem 13
Problem 13
How to use difference of perfect squares and greatest common factors to solve equations by factoring
Solving Quadratic Equations by Factoring - Problem 14
Problem 14
How to solve polynomial equations by factoring with a greatest common factor
Solving Quadratic Equations by Factoring - Problem 15
Problem 15
Explanatin of why it is valid to divide both sides of a quadratic equation by a constant, but not by a variable
Solving Quadratic Equations by Factoring - Problem 16
Problem 16
Solving quadratic equations by factoring when the a value is one
Solving Quadratic Equations by Factoring - Problem 17
Problem 17
Geometry applications of solving quadratic equations by factoring, including rectangle, triangle, and circle areas
Solving Quadratic Equations by Factoring - Problem 18
Problem 18
Area of rectangles application of solving a quadratic from factored form
Solving Quadratic Equations by Factoring - Problem 19
Problem 19
Solving quadratic equations by factoring when the a value is not one
Solving Quadratic Equations by Factoring - Problem 20
Problem 20
Finding the zeros of a polynomial by factoring
Solving Quadratic Equations by Factoring - Problem 21
Problem 21
Pythagorean Theorem problems that involve squaring and factoring binomials