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Simplifying x4 + 8xy + -20x = 0 Reorder the terms: -20x + 8xy + x4 = 0 Solving -20x + 8xy + x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-20 + 8y + x3) = 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 '(-20 + 8y + x3)' equal to zero and attempt to solve: Simplifying -20 + 8y + x3 = 0 Reorder the terms: -20 + x3 + 8y = 0 Solving -20 + x3 + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + x3 + 20 + 8y = 0 + 20 Reorder the terms: -20 + 20 + x3 + 8y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + x3 + 8y = 0 + 20 x3 + 8y = 0 + 20 Combine like terms: 0 + 20 = 20 x3 + 8y = 20 Add '-8y' to each side of the equation. x3 + 8y + -8y = 20 + -8y Combine like terms: 8y + -8y = 0 x3 + 0 = 20 + -8y x3 = 20 + -8y Simplifying x3 = 20 + -8y 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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