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Simplifying 0 = 256x4 + 50x2 Reorder the terms: 0 = 50x2 + 256x4 Solving 0 = 50x2 + 256x4 Solving for variable 'x'. Remove the zero: -50x2 + -256x4 = 50x2 + 256x4 + -50x2 + -256x4 Reorder the terms: -50x2 + -256x4 = 50x2 + -50x2 + 256x4 + -256x4 Combine like terms: 50x2 + -50x2 = 0 -50x2 + -256x4 = 0 + 256x4 + -256x4 -50x2 + -256x4 = 256x4 + -256x4 Combine like terms: 256x4 + -256x4 = 0 -50x2 + -256x4 = 0 Factor out the Greatest Common Factor (GCF), '-2x2'. -2x2(25 + 128x2) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(25 + 128x2)' equal to zero and attempt to solve: Simplifying 25 + 128x2 = 0 Solving 25 + 128x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 128x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 128x2 = 0 + -25 128x2 = 0 + -25 Combine like terms: 0 + -25 = -25 128x2 = -25 Divide each side by '128'. x2 = -0.1953125 Simplifying x2 = -0.1953125 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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