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Simplifying 64x2 + 128x + 64 = 9 Reorder the terms: 64 + 128x + 64x2 = 9 Solving 64 + 128x + 64x2 = 9 Solving for variable 'x'. Reorder the terms: 64 + -9 + 128x + 64x2 = 9 + -9 Combine like terms: 64 + -9 = 55 55 + 128x + 64x2 = 9 + -9 Combine like terms: 9 + -9 = 0 55 + 128x + 64x2 = 0 Factor a trinomial. (11 + 8x)(5 + 8x) = 0Subproblem 1
Set the factor '(11 + 8x)' equal to zero and attempt to solve: Simplifying 11 + 8x = 0 Solving 11 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 8x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 8x = 0 + -11 8x = 0 + -11 Combine like terms: 0 + -11 = -11 8x = -11 Divide each side by '8'. x = -1.375 Simplifying x = -1.375Subproblem 2
Set the factor '(5 + 8x)' equal to zero and attempt to solve: Simplifying 5 + 8x = 0 Solving 5 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 0 + -5 8x = 0 + -5 Combine like terms: 0 + -5 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625Solution
x = {-1.375, -0.625}
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