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Simplifying (x + -3)(x + 3) = 3x(x + 1) + 3x + -9 Reorder the terms: (-3 + x)(x + 3) = 3x(x + 1) + 3x + -9 Reorder the terms: (-3 + x)(3 + x) = 3x(x + 1) + 3x + -9 Multiply (-3 + x) * (3 + x) (-3(3 + x) + x(3 + x)) = 3x(x + 1) + 3x + -9 ((3 * -3 + x * -3) + x(3 + x)) = 3x(x + 1) + 3x + -9 ((-9 + -3x) + x(3 + x)) = 3x(x + 1) + 3x + -9 (-9 + -3x + (3 * x + x * x)) = 3x(x + 1) + 3x + -9 (-9 + -3x + (3x + x2)) = 3x(x + 1) + 3x + -9 Combine like terms: -3x + 3x = 0 (-9 + 0 + x2) = 3x(x + 1) + 3x + -9 (-9 + x2) = 3x(x + 1) + 3x + -9 Reorder the terms: -9 + x2 = 3x(1 + x) + 3x + -9 -9 + x2 = (1 * 3x + x * 3x) + 3x + -9 -9 + x2 = (3x + 3x2) + 3x + -9 Reorder the terms: -9 + x2 = -9 + 3x + 3x + 3x2 Combine like terms: 3x + 3x = 6x -9 + x2 = -9 + 6x + 3x2 Add '9' to each side of the equation. -9 + 9 + x2 = -9 + 6x + 9 + 3x2 Combine like terms: -9 + 9 = 0 0 + x2 = -9 + 6x + 9 + 3x2 x2 = -9 + 6x + 9 + 3x2 Reorder the terms: x2 = -9 + 9 + 6x + 3x2 Combine like terms: -9 + 9 = 0 x2 = 0 + 6x + 3x2 x2 = 6x + 3x2 Solving x2 = 6x + 3x2 Solving for variable 'x'. Reorder the terms: -6x + x2 + -3x2 = 6x + 3x2 + -6x + -3x2 Combine like terms: x2 + -3x2 = -2x2 -6x + -2x2 = 6x + 3x2 + -6x + -3x2 Reorder the terms: -6x + -2x2 = 6x + -6x + 3x2 + -3x2 Combine like terms: 6x + -6x = 0 -6x + -2x2 = 0 + 3x2 + -3x2 -6x + -2x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -6x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(3 + x) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0, -3}
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