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Simplifying x(x + 3)(x + 3) = x(x + -3)(x + 3) Reorder the terms: x(3 + x)(x + 3) = x(x + -3)(x + 3) Reorder the terms: x(3 + x)(3 + x) = x(x + -3)(x + 3) Multiply (3 + x) * (3 + x) x(3(3 + x) + x(3 + x)) = x(x + -3)(x + 3) x((3 * 3 + x * 3) + x(3 + x)) = x(x + -3)(x + 3) x((9 + 3x) + x(3 + x)) = x(x + -3)(x + 3) x(9 + 3x + (3 * x + x * x)) = x(x + -3)(x + 3) x(9 + 3x + (3x + x2)) = x(x + -3)(x + 3) Combine like terms: 3x + 3x = 6x x(9 + 6x + x2) = x(x + -3)(x + 3) (9 * x + 6x * x + x2 * x) = x(x + -3)(x + 3) (9x + 6x2 + x3) = x(x + -3)(x + 3) Reorder the terms: 9x + 6x2 + x3 = x(-3 + x)(x + 3) Reorder the terms: 9x + 6x2 + x3 = x(-3 + x)(3 + x) Multiply (-3 + x) * (3 + x) 9x + 6x2 + x3 = x(-3(3 + x) + x(3 + x)) 9x + 6x2 + x3 = x((3 * -3 + x * -3) + x(3 + x)) 9x + 6x2 + x3 = x((-9 + -3x) + x(3 + x)) 9x + 6x2 + x3 = x(-9 + -3x + (3 * x + x * x)) 9x + 6x2 + x3 = x(-9 + -3x + (3x + x2)) Combine like terms: -3x + 3x = 0 9x + 6x2 + x3 = x(-9 + 0 + x2) 9x + 6x2 + x3 = x(-9 + x2) 9x + 6x2 + x3 = (-9 * x + x2 * x) 9x + 6x2 + x3 = (-9x + x3) Add '-1x3' to each side of the equation. 9x + 6x2 + x3 + -1x3 = -9x + x3 + -1x3 Combine like terms: x3 + -1x3 = 0 9x + 6x2 + 0 = -9x + x3 + -1x3 9x + 6x2 = -9x + x3 + -1x3 Combine like terms: x3 + -1x3 = 0 9x + 6x2 = -9x + 0 9x + 6x2 = -9x Solving 9x + 6x2 = -9x Solving for variable 'x'. Reorder the terms: 9x + 9x + 6x2 = -9x + 9x Combine like terms: 9x + 9x = 18x 18x + 6x2 = -9x + 9x Combine like terms: -9x + 9x = 0 18x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '6x'. 6x(3 + x) = 0 Ignore the factor 6.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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