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Simplifying x(x + -7) = 2x(x) + 11x Reorder the terms: x(-7 + x) = 2x(x) + 11x (-7 * x + x * x) = 2x(x) + 11x (-7x + x2) = 2x(x) + 11x Multiply x * x -7x + x2 = 2x2 + 11x Reorder the terms: -7x + x2 = 11x + 2x2 Solving -7x + x2 = 11x + 2x2 Solving for variable 'x'. Reorder the terms: -7x + -11x + x2 + -2x2 = 11x + 2x2 + -11x + -2x2 Combine like terms: -7x + -11x = -18x -18x + x2 + -2x2 = 11x + 2x2 + -11x + -2x2 Combine like terms: x2 + -2x2 = -1x2 -18x + -1x2 = 11x + 2x2 + -11x + -2x2 Reorder the terms: -18x + -1x2 = 11x + -11x + 2x2 + -2x2 Combine like terms: 11x + -11x = 0 -18x + -1x2 = 0 + 2x2 + -2x2 -18x + -1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -18x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(18 + 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 '(18 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Simplifying x = -18Solution
x = {0, -18}
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