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Simplifying X(3X + 9) = 264 Reorder the terms: X(9 + 3X) = 264 (9 * X + 3X * X) = 264 (9X + 3X2) = 264 Solving 9X + 3X2 = 264 Solving for variable 'X'. Reorder the terms: -264 + 9X + 3X2 = 264 + -264 Combine like terms: 264 + -264 = 0 -264 + 9X + 3X2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-88 + 3X + X2) = 0 Factor a trinomial. 3((-11 + -1X)(8 + -1X)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-11 + -1X)' equal to zero and attempt to solve: Simplifying -11 + -1X = 0 Solving -11 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1X = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1X = 0 + 11 -1X = 0 + 11 Combine like terms: 0 + 11 = 11 -1X = 11 Divide each side by '-1'. X = -11 Simplifying X = -11Subproblem 2
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 = 8Solution
X = {-11, 8}
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