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Simplifying 12x + 2x = (x + 1) * 10x Combine like terms: 12x + 2x = 14x 14x = (x + 1) * 10x Reorder the terms: 14x = (1 + x) * 10x Reorder the terms for easier multiplication: 14x = 10x(1 + x) 14x = (1 * 10x + x * 10x) 14x = (10x + 10x2) Solving 14x = 10x + 10x2 Solving for variable 'x'. Combine like terms: 14x + -10x = 4x 4x + -10x2 = 10x + 10x2 + -10x + -10x2 Reorder the terms: 4x + -10x2 = 10x + -10x + 10x2 + -10x2 Combine like terms: 10x + -10x = 0 4x + -10x2 = 0 + 10x2 + -10x2 4x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 4x + -10x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(2 + -5x) = 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 '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Solution
x = {0, 0.4}
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