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Simplifying X8 + -1y8 = 0 Solving X8 + -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. X8 + -1y8 + y8 = 0 + y8 Combine like terms: -1y8 + y8 = 0 X8 + 0 = 0 + y8 X8 = 0 + y8 Remove the zero: X8 = y8 Simplifying X8 = y8 Combine like terms: y8 + -1y8 = 0 X8 + -1y8 = 0 Factor a difference between two squares. (X4 + y4)(X4 + -1y4) = 0 Factor a difference between two squares. (X4 + y4)((X2 + y2)(X2 + -1y2)) = 0 Factor a difference between two squares. (X4 + y4)((X2 + y2)((X + y)(X + -1y))) = 0Subproblem 1
Set the factor '(X4 + y4)' equal to zero and attempt to solve: Simplifying X4 + y4 = 0 Solving X4 + y4 = 0 Move all terms containing X to the left, all other terms to the right. Add '-1y4' to each side of the equation. X4 + y4 + -1y4 = 0 + -1y4 Combine like terms: y4 + -1y4 = 0 X4 + 0 = 0 + -1y4 X4 = 0 + -1y4 Remove the zero: X4 = -1y4 Simplifying X4 = -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 '(X2 + y2)' equal to zero and attempt to solve: Simplifying X2 + y2 = 0 Solving X2 + y2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-1y2' to each side of the equation. X2 + y2 + -1y2 = 0 + -1y2 Combine like terms: y2 + -1y2 = 0 X2 + 0 = 0 + -1y2 X2 = 0 + -1y2 Remove the zero: X2 = -1y2 Simplifying X2 = -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 '(X + y)' equal to zero and attempt to solve: Simplifying X + y = 0 Solving X + y = 0 Move all terms containing X to the left, all other terms to the right. Add '-1y' to each side of the equation. X + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 X + 0 = 0 + -1y X = 0 + -1y Remove the zero: X = -1y Simplifying X = -1ySubproblem 4
Set the factor '(X + -1y)' equal to zero and attempt to solve: Simplifying X + -1y = 0 Solving X + -1y = 0 Move all terms containing X to the left, all other terms to the right. Add 'y' to each side of the equation. X + -1y + y = 0 + y Combine like terms: -1y + y = 0 X + 0 = 0 + y X = 0 + y Remove the zero: X = y Simplifying X = ySolution
X = {-1y, y}
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