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