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Simplifying 32X2 + 16X + 2 = 0 Reorder the terms: 2 + 16X + 32X2 = 0 Solving 2 + 16X + 32X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(1 + 8X + 16X2) = 0 Factor a trinomial. 2((1 + 4X)(1 + 4X)) = 0 Ignore the factor 2.Subproblem 1
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 = -0.25Subproblem 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 = {-0.25, -0.25}
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