-6 = 4x - 2x²

2x² - 4x - 6 = 0 {added 2x² and subtracted 4x from each side@}

2(x² - 2x - 3) = 0 {factored 2 out}

x² - 2x - 3 = 0 {divided each side by 2}

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

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

**x = 3 or x = -1 ** {solved each equation for x}

*- Algebra House*
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