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Simplifying 0 = x2 + -10x + -13200 Reorder the terms: 0 = -13200 + -10x + x2 Solving 0 = -13200 + -10x + x2 Solving for variable 'x'. Combine like terms: 0 + 13200 = 13200 13200 + 10x + -1x2 = -13200 + -10x + x2 + 13200 + 10x + -1x2 Reorder the terms: 13200 + 10x + -1x2 = -13200 + 13200 + -10x + 10x + x2 + -1x2 Combine like terms: -13200 + 13200 = 0 13200 + 10x + -1x2 = 0 + -10x + 10x + x2 + -1x2 13200 + 10x + -1x2 = -10x + 10x + x2 + -1x2 Combine like terms: -10x + 10x = 0 13200 + 10x + -1x2 = 0 + x2 + -1x2 13200 + 10x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 13200 + 10x + -1x2 = 0 Factor a trinomial. (120 + -1x)(110 + x) = 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 '(110 + x)' equal to zero and attempt to solve: Simplifying 110 + x = 0 Solving 110 + x = 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 + x = 0 + -110 Combine like terms: 110 + -110 = 0 0 + x = 0 + -110 x = 0 + -110 Combine like terms: 0 + -110 = -110 x = -110 Simplifying x = -110Solution
x = {120, -110}
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