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Simplifying 2x + 24 = x2 + 11x + 24 Reorder the terms: 24 + 2x = x2 + 11x + 24 Reorder the terms: 24 + 2x = 24 + 11x + x2 Add '-24' to each side of the equation. 24 + -24 + 2x = 24 + 11x + -24 + x2 Combine like terms: 24 + -24 = 0 0 + 2x = 24 + 11x + -24 + x2 2x = 24 + 11x + -24 + x2 Reorder the terms: 2x = 24 + -24 + 11x + x2 Combine like terms: 24 + -24 = 0 2x = 0 + 11x + x2 2x = 11x + x2 Solving 2x = 11x + x2 Solving for variable 'x'. Combine like terms: 2x + -11x = -9x -9x + -1x2 = 11x + x2 + -11x + -1x2 Reorder the terms: -9x + -1x2 = 11x + -11x + x2 + -1x2 Combine like terms: 11x + -11x = 0 -9x + -1x2 = 0 + x2 + -1x2 -9x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -9x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(9 + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Solution
x = {0, -9}
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