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Simplifying -2(x + 3)(x + 3) = 0 Reorder the terms: -2(3 + x)(x + 3) = 0 Reorder the terms: -2(3 + x)(3 + x) = 0 Multiply (3 + x) * (3 + x) -2(3(3 + x) + x(3 + x)) = 0 -2((3 * 3 + x * 3) + x(3 + x)) = 0 -2((9 + 3x) + x(3 + x)) = 0 -2(9 + 3x + (3 * x + x * x)) = 0 -2(9 + 3x + (3x + x2)) = 0 Combine like terms: 3x + 3x = 6x -2(9 + 6x + x2) = 0 (9 * -2 + 6x * -2 + x2 * -2) = 0 (-18 + -12x + -2x2) = 0 Solving -18 + -12x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2'. -2(9 + 6x + x2) = 0 Factor a trinomial. -2((3 + x)(3 + x)) = 0 Ignore the factor -2.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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