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Simplifying 3(x + -4)(x + 5) = 0 Reorder the terms: 3(-4 + x)(x + 5) = 0 Reorder the terms: 3(-4 + x)(5 + x) = 0 Multiply (-4 + x) * (5 + x) 3(-4(5 + x) + x(5 + x)) = 0 3((5 * -4 + x * -4) + x(5 + x)) = 0 3((-20 + -4x) + x(5 + x)) = 0 3(-20 + -4x + (5 * x + x * x)) = 0 3(-20 + -4x + (5x + x2)) = 0 Combine like terms: -4x + 5x = 1x 3(-20 + 1x + x2) = 0 (-20 * 3 + 1x * 3 + x2 * 3) = 0 (-60 + 3x + 3x2) = 0 Solving -60 + 3x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-20 + x + x2) = 0 Factor a trinomial. 3((-5 + -1x)(4 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 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 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-5, 4}
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