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Simplifying -80X2 + -44X + 180 = 0 Reorder the terms: 180 + -44X + -80X2 = 0 Solving 180 + -44X + -80X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '4'. 4(45 + -11X + -20X2) = 0 Factor a trinomial. 4((5 + -4X)(9 + 5X)) = 0 Ignore the factor 4.Subproblem 1
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 = 1.25Subproblem 2
Set the factor '(9 + 5X)' equal to zero and attempt to solve: Simplifying 9 + 5X = 0 Solving 9 + 5X = 0 Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5X = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5X = 0 + -9 5X = 0 + -9 Combine like terms: 0 + -9 = -9 5X = -9 Divide each side by '5'. X = -1.8 Simplifying X = -1.8Solution
X = {1.25, -1.8}
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