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Simplifying (-1x + -5)(3x + 9) = 0 Reorder the terms: (-5 + -1x)(3x + 9) = 0 Reorder the terms: (-5 + -1x)(9 + 3x) = 0 Multiply (-5 + -1x) * (9 + 3x) (-5(9 + 3x) + -1x * (9 + 3x)) = 0 ((9 * -5 + 3x * -5) + -1x * (9 + 3x)) = 0 ((-45 + -15x) + -1x * (9 + 3x)) = 0 (-45 + -15x + (9 * -1x + 3x * -1x)) = 0 (-45 + -15x + (-9x + -3x2)) = 0 Combine like terms: -15x + -9x = -24x (-45 + -24x + -3x2) = 0 Solving -45 + -24x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-3'. -3(15 + 8x + x2) = 0 Factor a trinomial. -3((5 + x)(3 + x)) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 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 = {-5, -3}
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