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Simplifying x(x + 2) + -13 = (x + -3)(x + 3) Reorder the terms: x(2 + x) + -13 = (x + -3)(x + 3) (2 * x + x * x) + -13 = (x + -3)(x + 3) (2x + x2) + -13 = (x + -3)(x + 3) Reorder the terms: -13 + 2x + x2 = (x + -3)(x + 3) Reorder the terms: -13 + 2x + x2 = (-3 + x)(x + 3) Reorder the terms: -13 + 2x + x2 = (-3 + x)(3 + x) Multiply (-3 + x) * (3 + x) -13 + 2x + x2 = (-3(3 + x) + x(3 + x)) -13 + 2x + x2 = ((3 * -3 + x * -3) + x(3 + x)) -13 + 2x + x2 = ((-9 + -3x) + x(3 + x)) -13 + 2x + x2 = (-9 + -3x + (3 * x + x * x)) -13 + 2x + x2 = (-9 + -3x + (3x + x2)) Combine like terms: -3x + 3x = 0 -13 + 2x + x2 = (-9 + 0 + x2) -13 + 2x + x2 = (-9 + x2) Add '-1x2' to each side of the equation. -13 + 2x + x2 + -1x2 = -9 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -13 + 2x + 0 = -9 + x2 + -1x2 -13 + 2x = -9 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -13 + 2x = -9 + 0 -13 + 2x = -9 Solving -13 + 2x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 2x = -9 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = -9 + 13 2x = -9 + 13 Combine like terms: -9 + 13 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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