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Simplifying (x + 8) * 2x = x Reorder the terms: (8 + x) * 2x = x Reorder the terms for easier multiplication: 2x(8 + x) = x (8 * 2x + x * 2x) = x (16x + 2x2) = x Solving 16x + 2x2 = x Solving for variable 'x'. Reorder the terms: 16x + -1x + 2x2 = x + -1x Combine like terms: 16x + -1x = 15x 15x + 2x2 = x + -1x Combine like terms: x + -1x = 0 15x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(15 + 2x) = 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 '(15 + 2x)' equal to zero and attempt to solve: Simplifying 15 + 2x = 0 Solving 15 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 2x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 0 + -15 2x = 0 + -15 Combine like terms: 0 + -15 = -15 2x = -15 Divide each side by '2'. x = -7.5 Simplifying x = -7.5Solution
x = {0, -7.5}
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