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Simplifying 8X2 + 6X + -20 = 0 Reorder the terms: -20 + 6X + 8X2 = 0 Solving -20 + 6X + 8X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + 3X + 4X2) = 0 Factor a trinomial. 2((-2 + -1X)(5 + -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 '(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 = {-2, 1.25}
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