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Simplifying x16 + -1y8 = 0 Solving x16 + -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. x16 + -1y8 + y8 = 0 + y8 Combine like terms: -1y8 + y8 = 0 x16 + 0 = 0 + y8 x16 = 0 + y8 Remove the zero: x16 = y8 Simplifying x16 = y8 Combine like terms: y8 + -1y8 = 0 x16 + -1y8 = 0 Factor a difference between two squares. (x8 + y4)(x8 + -1y4) = 0 Factor a difference between two squares. (x8 + y4)((x4 + y2)(x4 + -1y2)) = 0 Factor a difference between two squares. (x8 + y4)((x4 + y2)((x2 + y)(x2 + -1y))) = 0Subproblem 1
Set the factor '(x8 + y4)' equal to zero and attempt to solve: Simplifying x8 + y4 = 0 Solving x8 + y4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y4' to each side of the equation. x8 + y4 + -1y4 = 0 + -1y4 Combine like terms: y4 + -1y4 = 0 x8 + 0 = 0 + -1y4 x8 = 0 + -1y4 Remove the zero: x8 = -1y4 Simplifying x8 = -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 '(x4 + y2)' equal to zero and attempt to solve: Simplifying x4 + y2 = 0 Solving x4 + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. x4 + y2 + -1y2 = 0 + -1y2 Combine like terms: y2 + -1y2 = 0 x4 + 0 = 0 + -1y2 x4 = 0 + -1y2 Remove the zero: x4 = -1y2 Simplifying x4 = -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 '(x2 + y)' equal to zero and attempt to solve: Simplifying x2 + y = 0 Solving x2 + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. x2 + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 x2 + 0 = 0 + -1y x2 = 0 + -1y Remove the zero: x2 = -1y Simplifying x2 = -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 '(x2 + -1y)' equal to zero and attempt to solve: Simplifying x2 + -1y = 0 Solving x2 + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. x2 + -1y + y = 0 + y Combine like terms: -1y + y = 0 x2 + 0 = 0 + y x2 = 0 + y Remove the zero: x2 = y Simplifying x2 = 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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