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Simplifying -12X2 + 36X + -27 = 0 Reorder the terms: -27 + 36X + -12X2 = 0 Solving -27 + 36X + -12X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '3'. 3(-9 + 12X + -4X2) = 0 Factor a trinomial. 3((-3 + 2X)(3 + -2X)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + 2X)' equal to zero and attempt to solve: Simplifying -3 + 2X = 0 Solving -3 + 2X = 0 Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2X = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2X = 0 + 3 2X = 0 + 3 Combine like terms: 0 + 3 = 3 2X = 3 Divide each side by '2'. X = 1.5 Simplifying X = 1.5Subproblem 2
Set the factor '(3 + -2X)' equal to zero and attempt to solve: Simplifying 3 + -2X = 0 Solving 3 + -2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2X = 0 + -3 -2X = 0 + -3 Combine like terms: 0 + -3 = -3 -2X = -3 Divide each side by '-2'. X = 1.5 Simplifying X = 1.5Solution
X = {1.5, 1.5}
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