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Simplifying 64x2 + -128x + 64 = 25 Reorder the terms: 64 + -128x + 64x2 = 25 Solving 64 + -128x + 64x2 = 25 Solving for variable 'x'. Reorder the terms: 64 + -25 + -128x + 64x2 = 25 + -25 Combine like terms: 64 + -25 = 39 39 + -128x + 64x2 = 25 + -25 Combine like terms: 25 + -25 = 0 39 + -128x + 64x2 = 0 Factor a trinomial. (3 + -8x)(13 + -8x) = 0Subproblem 1
Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Subproblem 2
Set the factor '(13 + -8x)' equal to zero and attempt to solve: Simplifying 13 + -8x = 0 Solving 13 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -8x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -8x = 0 + -13 -8x = 0 + -13 Combine like terms: 0 + -13 = -13 -8x = -13 Divide each side by '-8'. x = 1.625 Simplifying x = 1.625Solution
x = {0.375, 1.625}
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