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Simplifying 2X(2X + 2) = 624 Reorder the terms: 2X(2 + 2X) = 624 (2 * 2X + 2X * 2X) = 624 (4X + 4X2) = 624 Solving 4X + 4X2 = 624 Solving for variable 'X'. Reorder the terms: -624 + 4X + 4X2 = 624 + -624 Combine like terms: 624 + -624 = 0 -624 + 4X + 4X2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-156 + X + X2) = 0 Factor a trinomial. 4((-13 + -1X)(12 + -1X)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-13 + -1X)' equal to zero and attempt to solve: Simplifying -13 + -1X = 0 Solving -13 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1X = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1X = 0 + 13 -1X = 0 + 13 Combine like terms: 0 + 13 = 13 -1X = 13 Divide each side by '-1'. X = -13 Simplifying X = -13Subproblem 2
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 = 12Solution
X = {-13, 12}
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