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Simplifying 2X2 + 2X + 1 = 113 Reorder the terms: 1 + 2X + 2X2 = 113 Solving 1 + 2X + 2X2 = 113 Solving for variable 'X'. Reorder the terms: 1 + -113 + 2X + 2X2 = 113 + -113 Combine like terms: 1 + -113 = -112 -112 + 2X + 2X2 = 113 + -113 Combine like terms: 113 + -113 = 0 -112 + 2X + 2X2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-56 + X + X2) = 0 Factor a trinomial. 2((-8 + -1X)(7 + -1X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + -1X)' equal to zero and attempt to solve: Simplifying -8 + -1X = 0 Solving -8 + -1X = 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 + -1X = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1X = 0 + 8 -1X = 0 + 8 Combine like terms: 0 + 8 = 8 -1X = 8 Divide each side by '-1'. X = -8 Simplifying X = -8Subproblem 2
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 = 7Solution
X = {-8, 7}
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