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Simplifying 8x = 2x(x + 9) Reorder the terms: 8x = 2x(9 + x) 8x = (9 * 2x + x * 2x) 8x = (18x + 2x2) Solving 8x = 18x + 2x2 Solving for variable 'x'. Combine like terms: 8x + -18x = -10x -10x + -2x2 = 18x + 2x2 + -18x + -2x2 Reorder the terms: -10x + -2x2 = 18x + -18x + 2x2 + -2x2 Combine like terms: 18x + -18x = 0 -10x + -2x2 = 0 + 2x2 + -2x2 -10x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -10x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(5 + x) = 0 Ignore the factor -2.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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {0, -5}
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