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Simplifying -3((x + 3)(x + 3)) = 0 Reorder the terms: -3((3 + x)(x + 3)) = 0 Reorder the terms: -3((3 + x)(3 + x)) = 0 Multiply (3 + x) * (3 + x) -3((3(3 + x) + x(3 + x))) = 0 -3(((3 * 3 + x * 3) + x(3 + x))) = 0 -3(((9 + 3x) + x(3 + x))) = 0 -3((9 + 3x + (3 * x + x * x))) = 0 -3((9 + 3x + (3x + x2))) = 0 Combine like terms: 3x + 3x = 6x -3((9 + 6x + x2)) = 0 (9 * -3 + 6x * -3 + x2 * -3) = 0 (-27 + -18x + -3x2) = 0 Solving -27 + -18x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-3'. -3(9 + 6x + x2) = 0 Factor a trinomial. -3((3 + x)(3 + x)) = 0 Ignore the factor -3.Subproblem 1
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 = -3Subproblem 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 = {-3, -3}
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