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