how do I use factoring to solve quadratic equations

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When solving quadratic equations via factoring, you are usually using something called the zero product property - just a fancy name for "if you multiply some values together and the product is zero, then one (or more) of those values must be zero".For exampleA*B = 0Either A is 0 or B is 0 (or they are both zero)With quadratics, the equations can be usually manipulated so that you are left with some factors multiplied together on one side and zero on the other side of the equation.For example:(x - 4)(x - 7) = 0Here, either x - 4 = 0 ... which leads to x = 4 or x - 7 = 0, which leads to x = 7 If the same quadratic looked like thisx^2 - 11x + 28 = 0you would have to try to factor the left side of the equation first.If it looked like thisx^2 = 11x - 28you would have to add or subtract terms from both sides of the equation to get an equivalent equation that had the value of zero on one side.I know it's just a couple of examples, but I hope it helps.

my teacher taught me a method called a factor diamond.