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Simplifying 0 = x2 + 5x + -12650 Reorder the terms: 0 = -12650 + 5x + x2 Solving 0 = -12650 + 5x + x2 Solving for variable 'x'. Combine like terms: 0 + 12650 = 12650 12650 + -5x + -1x2 = -12650 + 5x + x2 + 12650 + -5x + -1x2 Reorder the terms: 12650 + -5x + -1x2 = -12650 + 12650 + 5x + -5x + x2 + -1x2 Combine like terms: -12650 + 12650 = 0 12650 + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2 12650 + -5x + -1x2 = 5x + -5x + x2 + -1x2 Combine like terms: 5x + -5x = 0 12650 + -5x + -1x2 = 0 + x2 + -1x2 12650 + -5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 12650 + -5x + -1x2 = 0 Factor a trinomial. (110 + -1x)(115 + x) = 0Subproblem 1
Set the factor '(110 + -1x)' equal to zero and attempt to solve: Simplifying 110 + -1x = 0 Solving 110 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-110' to each side of the equation. 110 + -110 + -1x = 0 + -110 Combine like terms: 110 + -110 = 0 0 + -1x = 0 + -110 -1x = 0 + -110 Combine like terms: 0 + -110 = -110 -1x = -110 Divide each side by '-1'. x = 110 Simplifying x = 110Subproblem 2
Set the factor '(115 + x)' equal to zero and attempt to solve: Simplifying 115 + x = 0 Solving 115 + x = 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 + x = 0 + -115 Combine like terms: 115 + -115 = 0 0 + x = 0 + -115 x = 0 + -115 Combine like terms: 0 + -115 = -115 x = -115 Simplifying x = -115Solution
x = {110, -115}
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