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Simplifying 8X2 = 112X + -392 Reorder the terms: 8X2 = -392 + 112X Solving 8X2 = -392 + 112X Solving for variable 'X'. Reorder the terms: 392 + -112X + 8X2 = -392 + 112X + 392 + -112X Reorder the terms: 392 + -112X + 8X2 = -392 + 392 + 112X + -112X Combine like terms: -392 + 392 = 0 392 + -112X + 8X2 = 0 + 112X + -112X 392 + -112X + 8X2 = 112X + -112X Combine like terms: 112X + -112X = 0 392 + -112X + 8X2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(49 + -14X + X2) = 0 Factor a trinomial. 8((7 + -1X)(7 + -1X)) = 0 Ignore the factor 8.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 '(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 = {7, 7}
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