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Simplifying 64x2 + -128x + 64x = 9 Reorder the terms: -128x + 64x + 64x2 = 9 Combine like terms: -128x + 64x = -64x -64x + 64x2 = 9 Solving -64x + 64x2 = 9 Solving for variable 'x'. Reorder the terms: -9 + -64x + 64x2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + -64x + 64x2 = 0 Factor a trinomial. (-1 + -8x)(9 + -8x) = 0Subproblem 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 '(9 + -8x)' equal to zero and attempt to solve: Simplifying 9 + -8x = 0 Solving 9 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 0 + -9 -8x = 0 + -9 Combine like terms: 0 + -9 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125Solution
x = {-0.125, 1.125}
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