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Simplifying -16X2 + 4X + 20 = 0 Reorder the terms: 20 + 4X + -16X2 = 0 Solving 20 + 4X + -16X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '4'. 4(5 + X + -4X2) = 0 Factor a trinomial. 4((5 + -4X)(1 + X)) = 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 '(1 + X)' equal to zero and attempt to solve: Simplifying 1 + X = 0 Solving 1 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X = 0 + -1 X = 0 + -1 Combine like terms: 0 + -1 = -1 X = -1 Simplifying X = -1Solution
X = {1.25, -1}
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