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Simplifying 8X2 + 10X + -12 = 0 Reorder the terms: -12 + 10X + 8X2 = 0 Solving -12 + 10X + 8X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + 5X + 4X2) = 0 Factor a trinomial. 2((-2 + -1X)(3 + -4X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -1X)' equal to zero and attempt to solve: Simplifying -2 + -1X = 0 Solving -2 + -1X = 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 + -1X = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1X = 0 + 2 -1X = 0 + 2 Combine like terms: 0 + 2 = 2 -1X = 2 Divide each side by '-1'. X = -2 Simplifying X = -2Subproblem 2
Set the factor '(3 + -4X)' equal to zero and attempt to solve: Simplifying 3 + -4X = 0 Solving 3 + -4X = 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 + -4X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4X = 0 + -3 -4X = 0 + -3 Combine like terms: 0 + -3 = -3 -4X = -3 Divide each side by '-4'. X = 0.75 Simplifying X = 0.75Solution
X = {-2, 0.75}
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