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Simplifying 72X2 + -2X + -4 = 0 Reorder the terms: -4 + -2X + 72X2 = 0 Solving -4 + -2X + 72X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -1X + 36X2) = 0 Factor a trinomial. 2((-2 + -9X)(1 + -4X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -9X)' equal to zero and attempt to solve: Simplifying -2 + -9X = 0 Solving -2 + -9X = 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 + -9X = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -9X = 0 + 2 -9X = 0 + 2 Combine like terms: 0 + 2 = 2 -9X = 2 Divide each side by '-9'. X = -0.2222222222 Simplifying X = -0.2222222222Subproblem 2
Set the factor '(1 + -4X)' equal to zero and attempt to solve: Simplifying 1 + -4X = 0 Solving 1 + -4X = 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 + -4X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4X = 0 + -1 -4X = 0 + -1 Combine like terms: 0 + -1 = -1 -4X = -1 Divide each side by '-4'. X = 0.25 Simplifying X = 0.25Solution
X = {-0.2222222222, 0.25}
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