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Simplifying (x2 + -3x) + -9 = (x + -3)(x + 3) Reorder the terms: (-3x + x2) + -9 = (x + -3)(x + 3) Remove parenthesis around (-3x + x2) -3x + x2 + -9 = (x + -3)(x + 3) Reorder the terms: -9 + -3x + x2 = (x + -3)(x + 3) Reorder the terms: -9 + -3x + x2 = (-3 + x)(x + 3) Reorder the terms: -9 + -3x + x2 = (-3 + x)(3 + x) Multiply (-3 + x) * (3 + x) -9 + -3x + x2 = (-3(3 + x) + x(3 + x)) -9 + -3x + x2 = ((3 * -3 + x * -3) + x(3 + x)) -9 + -3x + x2 = ((-9 + -3x) + x(3 + x)) -9 + -3x + x2 = (-9 + -3x + (3 * x + x * x)) -9 + -3x + x2 = (-9 + -3x + (3x + x2)) Combine like terms: -3x + 3x = 0 -9 + -3x + x2 = (-9 + 0 + x2) -9 + -3x + x2 = (-9 + x2) Add '9' to each side of the equation. -9 + -3x + 9 + x2 = -9 + 9 + x2 Reorder the terms: -9 + 9 + -3x + x2 = -9 + 9 + x2 Combine like terms: -9 + 9 = 0 0 + -3x + x2 = -9 + 9 + x2 -3x + x2 = -9 + 9 + x2 Combine like terms: -9 + 9 = 0 -3x + x2 = 0 + x2 -3x + x2 = x2 Add '-1x2' to each side of the equation. -3x + x2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3x + 0 = x2 + -1x2 -3x = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3x = 0 Solving -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-3'. x = 0 Simplifying x = 0
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