-6 = 4x - 2x²

2x² - 4x - 6 = 0 added 2x² and subtracted 4x

2(x² - x - 3) = 0 factored 2 out

2(x -3)(x + 1) = 0 factored into two binomials

(x - 3)(x + 1) = 0 divided each side by 2

x - 3 = 0 or x + 1 = 0 set each factor equal to zero

x = 3 or x = -1 solved each for x

*McGenius*

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