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Simplifying X8 + -1y4 = 0 Solving X8 + -1y4 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add 'y4' to each side of the equation. X8 + -1y4 + y4 = 0 + y4 Combine like terms: -1y4 + y4 = 0 X8 + 0 = 0 + y4 X8 = 0 + y4 Remove the zero: X8 = y4 Simplifying X8 = y4 Combine like terms: y4 + -1y4 = 0 X8 + -1y4 = 0 Factor a difference between two squares. (X4 + y2)(X4 + -1y2) = 0 Factor a difference between two squares. (X4 + y2)((X2 + y)(X2 + -1y)) = 0Subproblem 1
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 2
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 3
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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