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Simplifying x = 2x(9 + x) x = (9 * 2x + x * 2x) x = (18x + 2x2) Solving x = 18x + 2x2 Solving for variable 'x'. Combine like terms: x + -18x = -17x -17x + -2x2 = 18x + 2x2 + -18x + -2x2 Reorder the terms: -17x + -2x2 = 18x + -18x + 2x2 + -2x2 Combine like terms: 18x + -18x = 0 -17x + -2x2 = 0 + 2x2 + -2x2 -17x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -17x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(17 + 2x) = 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 '(17 + 2x)' equal to zero and attempt to solve: Simplifying 17 + 2x = 0 Solving 17 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 2x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 0 + -17 2x = 0 + -17 Combine like terms: 0 + -17 = -17 2x = -17 Divide each side by '2'. x = -8.5 Simplifying x = -8.5Solution
x = {0, -8.5}
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