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Simplifying x2 + -2x = (x + -2)(x + -3) Reorder the terms: -2x + x2 = (x + -2)(x + -3) Reorder the terms: -2x + x2 = (-2 + x)(x + -3) Reorder the terms: -2x + x2 = (-2 + x)(-3 + x) Multiply (-2 + x) * (-3 + x) -2x + x2 = (-2(-3 + x) + x(-3 + x)) -2x + x2 = ((-3 * -2 + x * -2) + x(-3 + x)) -2x + x2 = ((6 + -2x) + x(-3 + x)) -2x + x2 = (6 + -2x + (-3 * x + x * x)) -2x + x2 = (6 + -2x + (-3x + x2)) Combine like terms: -2x + -3x = -5x -2x + x2 = (6 + -5x + x2) Add '-1x2' to each side of the equation. -2x + x2 + -1x2 = 6 + -5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2x + 0 = 6 + -5x + x2 + -1x2 -2x = 6 + -5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2x = 6 + -5x + 0 -2x = 6 + -5x Solving -2x = 6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -2x + 5x = 6 + -5x + 5x Combine like terms: -2x + 5x = 3x 3x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 3x = 6 + 0 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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