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Simplifying x24 + -1y8 = 0 Solving x24 + -1y8 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y8' to each side of the equation. x24 + -1y8 + y8 = 0 + y8 Combine like terms: -1y8 + y8 = 0 x24 + 0 = 0 + y8 x24 = 0 + y8 Remove the zero: x24 = y8 Simplifying x24 = y8 Combine like terms: y8 + -1y8 = 0 x24 + -1y8 = 0 Factor a difference between two squares. (x12 + y4)(x12 + -1y4) = 0 Factor a difference between two squares. (x12 + y4)((x6 + y2)(x6 + -1y2)) = 0 Factor a difference between two squares. (x12 + y4)((x6 + y2)((x3 + y)(x3 + -1y))) = 0Subproblem 1
Set the factor '(x12 + y4)' equal to zero and attempt to solve: Simplifying x12 + y4 = 0 Solving x12 + y4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y4' to each side of the equation. x12 + y4 + -1y4 = 0 + -1y4 Combine like terms: y4 + -1y4 = 0 x12 + 0 = 0 + -1y4 x12 = 0 + -1y4 Remove the zero: x12 = -1y4 Simplifying x12 = -1y4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(x6 + y2)' equal to zero and attempt to solve: Simplifying x6 + y2 = 0 Solving x6 + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. x6 + y2 + -1y2 = 0 + -1y2 Combine like terms: y2 + -1y2 = 0 x6 + 0 = 0 + -1y2 x6 = 0 + -1y2 Remove the zero: x6 = -1y2 Simplifying x6 = -1y2 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 '(x3 + y)' equal to zero and attempt to solve: Simplifying x3 + y = 0 Solving x3 + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. x3 + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 x3 + 0 = 0 + -1y x3 = 0 + -1y Remove the zero: x3 = -1y Simplifying x3 = -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 4
Set the factor '(x3 + -1y)' equal to zero and attempt to solve: Simplifying x3 + -1y = 0 Solving x3 + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. x3 + -1y + y = 0 + y Combine like terms: -1y + y = 0 x3 + 0 = 0 + y x3 = 0 + y Remove the zero: x3 = y Simplifying x3 = y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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