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Simplifying X(X + 24) = 432 Reorder the terms: X(24 + X) = 432 (24 * X + X * X) = 432 (24X + X2) = 432 Solving 24X + X2 = 432 Solving for variable 'X'. Reorder the terms: -432 + 24X + X2 = 432 + -432 Combine like terms: 432 + -432 = 0 -432 + 24X + X2 = 0 Factor a trinomial. (-36 + -1X)(12 + -1X) = 0Subproblem 1
Set the factor '(-36 + -1X)' equal to zero and attempt to solve: Simplifying -36 + -1X = 0 Solving -36 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -1X = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -1X = 0 + 36 -1X = 0 + 36 Combine like terms: 0 + 36 = 36 -1X = 36 Divide each side by '-1'. X = -36 Simplifying X = -36Subproblem 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 = {-36, 12}
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