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Simplifying -5(x + 3)(x + 8) = 0 Reorder the terms: -5(3 + x)(x + 8) = 0 Reorder the terms: -5(3 + x)(8 + x) = 0 Multiply (3 + x) * (8 + x) -5(3(8 + x) + x(8 + x)) = 0 -5((8 * 3 + x * 3) + x(8 + x)) = 0 -5((24 + 3x) + x(8 + x)) = 0 -5(24 + 3x + (8 * x + x * x)) = 0 -5(24 + 3x + (8x + x2)) = 0 Combine like terms: 3x + 8x = 11x -5(24 + 11x + x2) = 0 (24 * -5 + 11x * -5 + x2 * -5) = 0 (-120 + -55x + -5x2) = 0 Solving -120 + -55x + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-5'. -5(24 + 11x + x2) = 0 Factor a trinomial. -5((8 + x)(3 + x)) = 0 Ignore the factor -5.Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 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 = {-8, -3}
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