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Simplifying x + 1(10x) = x(12x + 2) Remove parenthesis around (10x) x + 1 * 10x = x(12x + 2) Multiply 1 * 10 x + 10x = x(12x + 2) Combine like terms: x + 10x = 11x 11x = x(12x + 2) Reorder the terms: 11x = x(2 + 12x) 11x = (2 * x + 12x * x) 11x = (2x + 12x2) Solving 11x = 2x + 12x2 Solving for variable 'x'. Combine like terms: 11x + -2x = 9x 9x + -12x2 = 2x + 12x2 + -2x + -12x2 Reorder the terms: 9x + -12x2 = 2x + -2x + 12x2 + -12x2 Combine like terms: 2x + -2x = 0 9x + -12x2 = 0 + 12x2 + -12x2 9x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 9x + -12x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(3 + -4x) = 0 Ignore the factor 3.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 '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {0, 0.75}
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