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Simplifying 256x2 + -15x = -14x Reorder the terms: -15x + 256x2 = -14x Solving -15x + 256x2 = -14x Solving for variable 'x'. Reorder the terms: -15x + 14x + 256x2 = -14x + 14x Combine like terms: -15x + 14x = -1x -1x + 256x2 = -14x + 14x Combine like terms: -14x + 14x = 0 -1x + 256x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1 + 256x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1 + 256x)' equal to zero and attempt to solve: Simplifying -1 + 256x = 0 Solving -1 + 256x = 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 + 256x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 256x = 0 + 1 256x = 0 + 1 Combine like terms: 0 + 1 = 1 256x = 1 Divide each side by '256'. x = 0.00390625 Simplifying x = 0.00390625Solution
x = {0, 0.00390625}
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