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Simplifying 0 = x2 + 5x + -13800 Reorder the terms: 0 = -13800 + 5x + x2 Solving 0 = -13800 + 5x + x2 Solving for variable 'x'. Combine like terms: 0 + 13800 = 13800 13800 + -5x + -1x2 = -13800 + 5x + x2 + 13800 + -5x + -1x2 Reorder the terms: 13800 + -5x + -1x2 = -13800 + 13800 + 5x + -5x + x2 + -1x2 Combine like terms: -13800 + 13800 = 0 13800 + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2 13800 + -5x + -1x2 = 5x + -5x + x2 + -1x2 Combine like terms: 5x + -5x = 0 13800 + -5x + -1x2 = 0 + x2 + -1x2 13800 + -5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 13800 + -5x + -1x2 = 0 Factor a trinomial. (115 + -1x)(120 + x) = 0Subproblem 1
Set the factor '(115 + -1x)' equal to zero and attempt to solve: Simplifying 115 + -1x = 0 Solving 115 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-115' to each side of the equation. 115 + -115 + -1x = 0 + -115 Combine like terms: 115 + -115 = 0 0 + -1x = 0 + -115 -1x = 0 + -115 Combine like terms: 0 + -115 = -115 -1x = -115 Divide each side by '-1'. x = 115 Simplifying x = 115Subproblem 2
Set the factor '(120 + x)' equal to zero and attempt to solve: Simplifying 120 + x = 0 Solving 120 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + x = 0 + -120 Combine like terms: 120 + -120 = 0 0 + x = 0 + -120 x = 0 + -120 Combine like terms: 0 + -120 = -120 x = -120 Simplifying x = -120Solution
x = {115, -120}
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