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Simplifying 8x = 9x(x + -2) Reorder the terms: 8x = 9x(-2 + x) 8x = (-2 * 9x + x * 9x) 8x = (-18x + 9x2) Solving 8x = -18x + 9x2 Solving for variable 'x'. Combine like terms: 8x + 18x = 26x 26x + -9x2 = -18x + 9x2 + 18x + -9x2 Reorder the terms: 26x + -9x2 = -18x + 18x + 9x2 + -9x2 Combine like terms: -18x + 18x = 0 26x + -9x2 = 0 + 9x2 + -9x2 26x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 26x + -9x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(26 + -9x) = 0Subproblem 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 '(26 + -9x)' equal to zero and attempt to solve: Simplifying 26 + -9x = 0 Solving 26 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -9x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -9x = 0 + -26 -9x = 0 + -26 Combine like terms: 0 + -26 = -26 -9x = -26 Divide each side by '-9'. x = 2.888888889 Simplifying x = 2.888888889Solution
x = {0, 2.888888889}
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