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Simplifying -5(x + 4)(x + 9) = 0 Reorder the terms: -5(4 + x)(x + 9) = 0 Reorder the terms: -5(4 + x)(9 + x) = 0 Multiply (4 + x) * (9 + x) -5(4(9 + x) + x(9 + x)) = 0 -5((9 * 4 + x * 4) + x(9 + x)) = 0 -5((36 + 4x) + x(9 + x)) = 0 -5(36 + 4x + (9 * x + x * x)) = 0 -5(36 + 4x + (9x + x2)) = 0 Combine like terms: 4x + 9x = 13x -5(36 + 13x + x2) = 0 (36 * -5 + 13x * -5 + x2 * -5) = 0 (-180 + -65x + -5x2) = 0 Solving -180 + -65x + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-5'. -5(36 + 13x + x2) = 0 Factor a trinomial. -5((9 + x)(4 + x)) = 0 Ignore the factor -5.Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-9, -4}
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