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Simplifying (x + 3)(3x + 9) = 0 Reorder the terms: (3 + x)(3x + 9) = 0 Reorder the terms: (3 + x)(9 + 3x) = 0 Multiply (3 + x) * (9 + 3x) (3(9 + 3x) + x(9 + 3x)) = 0 ((9 * 3 + 3x * 3) + x(9 + 3x)) = 0 ((27 + 9x) + x(9 + 3x)) = 0 (27 + 9x + (9 * x + 3x * x)) = 0 (27 + 9x + (9x + 3x2)) = 0 Combine like terms: 9x + 9x = 18x (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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