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Simplifying 5x = 2x(x + 6) Reorder the terms: 5x = 2x(6 + x) 5x = (6 * 2x + x * 2x) 5x = (12x + 2x2) Solving 5x = 12x + 2x2 Solving for variable 'x'. Combine like terms: 5x + -12x = -7x -7x + -2x2 = 12x + 2x2 + -12x + -2x2 Reorder the terms: -7x + -2x2 = 12x + -12x + 2x2 + -2x2 Combine like terms: 12x + -12x = 0 -7x + -2x2 = 0 + 2x2 + -2x2 -7x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -7x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(7 + 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 '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Solution
x = {0, -3.5}
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