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Simplifying (x + 4) * 2x = 5x Reorder the terms: (4 + x) * 2x = 5x Reorder the terms for easier multiplication: 2x(4 + x) = 5x (4 * 2x + x * 2x) = 5x (8x + 2x2) = 5x Solving 8x + 2x2 = 5x Solving for variable 'x'. Reorder the terms: 8x + -5x + 2x2 = 5x + -5x Combine like terms: 8x + -5x = 3x 3x + 2x2 = 5x + -5x Combine like terms: 5x + -5x = 0 3x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(3 + 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 '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {0, -1.5}
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