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Simplifying -20 = x2 + 9x Reorder the terms: -20 = 9x + x2 Solving -20 = 9x + x2 Solving for variable 'x'. Reorder the terms: -20 + -9x + -1x2 = 9x + -9x + x2 + -1x2 Combine like terms: 9x + -9x = 0 -20 + -9x + -1x2 = 0 + x2 + -1x2 -20 + -9x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -20 + -9x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(20 + 9x + x2) = 0 Factor a trinomial. -1((5 + x)(4 + x)) = 0 Ignore the factor -1.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 '(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 = {-5, -4}
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