What is process of factoring to end up on x= 1/2, x= -2/3 with this equation 6x2 +x-2=0. Thanks in advance

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Take the 2 outer terms and multiply...6*2 = 12figure out which factors out 12 = +1which are 4 and -3now replace those two factors as the middle term and group like so...6x^2 + 4x - 3x - 2 = 0use the distributive property(2x-1)(3x+2)-0x = 1/2 x = -2/3HTH!