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Simplifying 36X2 + -24X + -45 = 0 Reorder the terms: -45 + -24X + 36X2 = 0 Solving -45 + -24X + 36X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '3'. 3(-15 + -8X + 12X2) = 0 Factor a trinomial. 3((-5 + -6X)(3 + -2X)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + -6X)' equal to zero and attempt to solve: Simplifying -5 + -6X = 0 Solving -5 + -6X = 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 + -6X = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6X = 0 + 5 -6X = 0 + 5 Combine like terms: 0 + 5 = 5 -6X = 5 Divide each side by '-6'. X = -0.8333333333 Simplifying X = -0.8333333333Subproblem 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 = {-0.8333333333, 1.5}
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