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Simplifying 256x2 + 32x + 1 = 0 Reorder the terms: 1 + 32x + 256x2 = 0 Solving 1 + 32x + 256x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + 16x)(1 + 16x) = 0Subproblem 1
Set the factor '(1 + 16x)' equal to zero and attempt to solve: Simplifying 1 + 16x = 0 Solving 1 + 16x = 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 + 16x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 16x = 0 + -1 16x = 0 + -1 Combine like terms: 0 + -1 = -1 16x = -1 Divide each side by '16'. x = -0.0625 Simplifying x = -0.0625Subproblem 2
Set the factor '(1 + 16x)' equal to zero and attempt to solve: Simplifying 1 + 16x = 0 Solving 1 + 16x = 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 + 16x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 16x = 0 + -1 16x = 0 + -1 Combine like terms: 0 + -1 = -1 16x = -1 Divide each side by '16'. x = -0.0625 Simplifying x = -0.0625Solution
x = {-0.0625, -0.0625}
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