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Simplifying 36x + -15 = 12x2 Reorder the terms: -15 + 36x = 12x2 Solving -15 + 36x = 12x2 Solving for variable 'x'. Combine like terms: 12x2 + -12x2 = 0 -15 + 36x + -12x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-5 + 12x + -4x2) = 0 Factor a trinomial. 3((-5 + 2x)(1 + -2x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + 2x)' equal to zero and attempt to solve: Simplifying -5 + 2x = 0 Solving -5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 0 + 5 2x = 0 + 5 Combine like terms: 0 + 5 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5Subproblem 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 = {2.5, 0.5}
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