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Simplifying 0 = x2 + 8x + -240 Reorder the terms: 0 = -240 + 8x + x2 Solving 0 = -240 + 8x + x2 Solving for variable 'x'. Combine like terms: 0 + 240 = 240 240 + -8x + -1x2 = -240 + 8x + x2 + 240 + -8x + -1x2 Reorder the terms: 240 + -8x + -1x2 = -240 + 240 + 8x + -8x + x2 + -1x2 Combine like terms: -240 + 240 = 0 240 + -8x + -1x2 = 0 + 8x + -8x + x2 + -1x2 240 + -8x + -1x2 = 8x + -8x + x2 + -1x2 Combine like terms: 8x + -8x = 0 240 + -8x + -1x2 = 0 + x2 + -1x2 240 + -8x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 240 + -8x + -1x2 = 0 Factor a trinomial. (12 + -1x)(20 + x) = 0Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Subproblem 2
Set the factor '(20 + x)' equal to zero and attempt to solve: Simplifying 20 + x = 0 Solving 20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + x = 0 + -20 x = 0 + -20 Combine like terms: 0 + -20 = -20 x = -20 Simplifying x = -20Solution
x = {12, -20}
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