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Simplifying Y4 + -1x4y4 = 0 Solving Y4 + -1x4y4 = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add 'x4y4' to each side of the equation. Y4 + -1x4y4 + x4y4 = 0 + x4y4 Combine like terms: -1x4y4 + x4y4 = 0 Y4 + 0 = 0 + x4y4 Y4 = 0 + x4y4 Remove the zero: Y4 = x4y4 Simplifying Y4 = x4y4 Combine like terms: x4y4 + -1x4y4 = 0 Y4 + -1x4y4 = 0 Factor a difference between two squares. (Y2 + x2y2)(Y2 + -1x2y2) = 0 Factor a difference between two squares. (Y2 + x2y2)((Y + xy)(Y + -1xy)) = 0Subproblem 1
Set the factor '(Y2 + x2y2)' equal to zero and attempt to solve: Simplifying Y2 + x2y2 = 0 Solving Y2 + x2y2 = 0 Move all terms containing Y to the left, all other terms to the right. Add '-1x2y2' to each side of the equation. Y2 + x2y2 + -1x2y2 = 0 + -1x2y2 Combine like terms: x2y2 + -1x2y2 = 0 Y2 + 0 = 0 + -1x2y2 Y2 = 0 + -1x2y2 Remove the zero: Y2 = -1x2y2 Simplifying Y2 = -1x2y2 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 '(Y + xy)' equal to zero and attempt to solve: Simplifying Y + xy = 0 Solving Y + xy = 0 Move all terms containing Y to the left, all other terms to the right. Add '-1xy' to each side of the equation. Y + xy + -1xy = 0 + -1xy Combine like terms: xy + -1xy = 0 Y + 0 = 0 + -1xy Y = 0 + -1xy Remove the zero: Y = -1xy Simplifying Y = -1xySubproblem 3
Set the factor '(Y + -1xy)' equal to zero and attempt to solve: Simplifying Y + -1xy = 0 Solving Y + -1xy = 0 Move all terms containing Y to the left, all other terms to the right. Add 'xy' to each side of the equation. Y + -1xy + xy = 0 + xy Combine like terms: -1xy + xy = 0 Y + 0 = 0 + xy Y = 0 + xy Remove the zero: Y = xy Simplifying Y = xySolution
Y = {-1xy, xy}
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