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Simplifying 112 = 2X2 + 2X Reorder the terms: 112 = 2X + 2X2 Solving 112 = 2X + 2X2 Solving for variable 'X'. Reorder the terms: 112 + -2X + -2X2 = 2X + -2X + 2X2 + -2X2 Combine like terms: 2X + -2X = 0 112 + -2X + -2X2 = 0 + 2X2 + -2X2 112 + -2X + -2X2 = 2X2 + -2X2 Combine like terms: 2X2 + -2X2 = 0 112 + -2X + -2X2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(56 + -1X + -1X2) = 0 Factor a trinomial. 2((7 + -1X)(8 + X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + -1X)' equal to zero and attempt to solve: Simplifying 7 + -1X = 0 Solving 7 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1X = 0 + -7 -1X = 0 + -7 Combine like terms: 0 + -7 = -7 -1X = -7 Divide each side by '-1'. X = 7 Simplifying X = 7Subproblem 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 = {7, -8}
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