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Simplifying 0 = 2x2 + -14x + -240 Reorder the terms: 0 = -240 + -14x + 2x2 Solving 0 = -240 + -14x + 2x2 Solving for variable 'x'. Combine like terms: 0 + 240 = 240 240 + 14x + -2x2 = -240 + -14x + 2x2 + 240 + 14x + -2x2 Reorder the terms: 240 + 14x + -2x2 = -240 + 240 + -14x + 14x + 2x2 + -2x2 Combine like terms: -240 + 240 = 0 240 + 14x + -2x2 = 0 + -14x + 14x + 2x2 + -2x2 240 + 14x + -2x2 = -14x + 14x + 2x2 + -2x2 Combine like terms: -14x + 14x = 0 240 + 14x + -2x2 = 0 + 2x2 + -2x2 240 + 14x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 240 + 14x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(120 + 7x + -1x2) = 0 Factor a trinomial. 2((15 + -1x)(8 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {15, -8}
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