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Simplifying 0 = -5x2 + -40x + -80 Reorder the terms: 0 = -80 + -40x + -5x2 Solving 0 = -80 + -40x + -5x2 Solving for variable 'x'. Combine like terms: 0 + 80 = 80 80 + 40x + 5x2 = -80 + -40x + -5x2 + 80 + 40x + 5x2 Reorder the terms: 80 + 40x + 5x2 = -80 + 80 + -40x + 40x + -5x2 + 5x2 Combine like terms: -80 + 80 = 0 80 + 40x + 5x2 = 0 + -40x + 40x + -5x2 + 5x2 80 + 40x + 5x2 = -40x + 40x + -5x2 + 5x2 Combine like terms: -40x + 40x = 0 80 + 40x + 5x2 = 0 + -5x2 + 5x2 80 + 40x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 80 + 40x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(16 + 8x + x2) = 0 Factor a trinomial. 5((4 + x)(4 + x)) = 0 Ignore the factor 5.Subproblem 1
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 = -4Subproblem 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 = {-4, -4}
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