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Simplifying 36x2 + 39x = 12 Reorder the terms: 39x + 36x2 = 12 Solving 39x + 36x2 = 12 Solving for variable 'x'. Reorder the terms: -12 + 39x + 36x2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 39x + 36x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4 + 13x + 12x2) = 0 Factor a trinomial. 3((-4 + -3x)(1 + -4x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {-1.333333333, 0.25}
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