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Simplifying -16x = 64x2 + 1 Reorder the terms: -16x = 1 + 64x2 Solving -16x = 1 + 64x2 Solving for variable 'x'. Reorder the terms: -1 + -16x + -64x2 = 1 + 64x2 + -1 + -64x2 Reorder the terms: -1 + -16x + -64x2 = 1 + -1 + 64x2 + -64x2 Combine like terms: 1 + -1 = 0 -1 + -16x + -64x2 = 0 + 64x2 + -64x2 -1 + -16x + -64x2 = 64x2 + -64x2 Combine like terms: 64x2 + -64x2 = 0 -1 + -16x + -64x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 16x + 64x2) = 0 Factor a trinomial. -1((1 + 8x)(1 + 8x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + 8x)' equal to zero and attempt to solve: Simplifying 1 + 8x = 0 Solving 1 + 8x = 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 + 8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 0 + -1 8x = 0 + -1 Combine like terms: 0 + -1 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125Subproblem 2
Set the factor '(1 + 8x)' equal to zero and attempt to solve: Simplifying 1 + 8x = 0 Solving 1 + 8x = 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 + 8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 0 + -1 8x = 0 + -1 Combine like terms: 0 + -1 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125Solution
x = {-0.125, -0.125}
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