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Simplifying 36x2 = (12x)(x + 1) Remove parenthesis around (12x) 36x2 = 12x(x + 1) Reorder the terms: 36x2 = 12x(1 + x) 36x2 = (1 * 12x + x * 12x) 36x2 = (12x + 12x2) Solving 36x2 = 12x + 12x2 Solving for variable 'x'. Reorder the terms: -12x + 36x2 + -12x2 = 12x + 12x2 + -12x + -12x2 Combine like terms: 36x2 + -12x2 = 24x2 -12x + 24x2 = 12x + 12x2 + -12x + -12x2 Reorder the terms: -12x + 24x2 = 12x + -12x + 12x2 + -12x2 Combine like terms: 12x + -12x = 0 -12x + 24x2 = 0 + 12x2 + -12x2 -12x + 24x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -12x + 24x2 = 0 Factor out the Greatest Common Factor (GCF), '12x'. 12x(-1 + 2x) = 0 Ignore the factor 12.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 '(-1 + 2x)' equal to zero and attempt to solve: Simplifying -1 + 2x = 0 Solving -1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 0 + 1 2x = 0 + 1 Combine like terms: 0 + 1 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5Solution
x = {0, 0.5}
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