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Simplifying 256x2 + 512x + -68 = 0 Reorder the terms: -68 + 512x + 256x2 = 0 Solving -68 + 512x + 256x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-17 + 128x + 64x2) = 0 Factor a trinomial. 4((-17 + -8x)(1 + -8x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-17 + -8x)' equal to zero and attempt to solve: Simplifying -17 + -8x = 0 Solving -17 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -8x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -8x = 0 + 17 -8x = 0 + 17 Combine like terms: 0 + 17 = 17 -8x = 17 Divide each side by '-8'. x = -2.125 Simplifying x = -2.125Subproblem 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 = {-2.125, 0.125}
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