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Simplifying 12x2 = 27x + -15 Reorder the terms: 12x2 = -15 + 27x Solving 12x2 = -15 + 27x Solving for variable 'x'. Reorder the terms: 15 + -27x + 12x2 = -15 + 27x + 15 + -27x Reorder the terms: 15 + -27x + 12x2 = -15 + 15 + 27x + -27x Combine like terms: -15 + 15 = 0 15 + -27x + 12x2 = 0 + 27x + -27x 15 + -27x + 12x2 = 27x + -27x Combine like terms: 27x + -27x = 0 15 + -27x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(5 + -9x + 4x2) = 0 Factor a trinomial. 3((1 + -1x)(5 + -4x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 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 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Solution
x = {1, 1.25}
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