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Simplifying 10x7 + -10xy10 = 0 Reorder the terms: -10xy10 + 10x7 = 0 Solving -10xy10 + 10x7 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10x'. 10x(-1y10 + x6) = 0 Factor a difference between two squares. 10x((y5 + x3)(-1y5 + x3)) = 0 Ignore the factor 10.Subproblem 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 '(y5 + x3)' equal to zero and attempt to solve: Simplifying y5 + x3 = 0 Reorder the terms: x3 + y5 = 0 Solving x3 + y5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y5' to each side of the equation. x3 + y5 + -1y5 = 0 + -1y5 Combine like terms: y5 + -1y5 = 0 x3 + 0 = 0 + -1y5 x3 = 0 + -1y5 Remove the zero: x3 = -1y5 Simplifying x3 = -1y5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-1y5 + x3)' equal to zero and attempt to solve: Simplifying -1y5 + x3 = 0 Reorder the terms: x3 + -1y5 = 0 Solving x3 + -1y5 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y5' to each side of the equation. x3 + -1y5 + y5 = 0 + y5 Combine like terms: -1y5 + y5 = 0 x3 + 0 = 0 + y5 x3 = 0 + y5 Remove the zero: x3 = y5 Simplifying x3 = y5 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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