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Simplifying 2x(4x + -25) = x Reorder the terms: 2x(-25 + 4x) = x (-25 * 2x + 4x * 2x) = x (-50x + 8x2) = x Solving -50x + 8x2 = x Solving for variable 'x'. Reorder the terms: -50x + -1x + 8x2 = x + -1x Combine like terms: -50x + -1x = -51x -51x + 8x2 = x + -1x Combine like terms: x + -1x = 0 -51x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-51 + 8x) = 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 '(-51 + 8x)' equal to zero and attempt to solve: Simplifying -51 + 8x = 0 Solving -51 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 8x = 0 + 51 Combine like terms: -51 + 51 = 0 0 + 8x = 0 + 51 8x = 0 + 51 Combine like terms: 0 + 51 = 51 8x = 51 Divide each side by '8'. x = 6.375 Simplifying x = 6.375Solution
x = {0, 6.375}
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