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Simplifying 64x2 + 32x = -4 Reorder the terms: 32x + 64x2 = -4 Solving 32x + 64x2 = -4 Solving for variable 'x'. Reorder the terms: 4 + 32x + 64x2 = -4 + 4 Combine like terms: -4 + 4 = 0 4 + 32x + 64x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(1 + 8x + 16x2) = 0 Factor a trinomial. 4((1 + 4x)(1 + 4x)) = 0 Ignore the factor 4.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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