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Simplifying 36x = 27x2 + 12 Reorder the terms: 36x = 12 + 27x2 Solving 36x = 12 + 27x2 Solving for variable 'x'. Reorder the terms: -12 + 36x + -27x2 = 12 + 27x2 + -12 + -27x2 Reorder the terms: -12 + 36x + -27x2 = 12 + -12 + 27x2 + -27x2 Combine like terms: 12 + -12 = 0 -12 + 36x + -27x2 = 0 + 27x2 + -27x2 -12 + 36x + -27x2 = 27x2 + -27x2 Combine like terms: 27x2 + -27x2 = 0 -12 + 36x + -27x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4 + 12x + -9x2) = 0 Factor a trinomial. 3((-2 + 3x)(2 + -3x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + 3x)' equal to zero and attempt to solve: Simplifying -2 + 3x = 0 Solving -2 + 3x = 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 + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 0 + 2 3x = 0 + 2 Combine like terms: 0 + 2 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {0.6666666667, 0.6666666667}
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