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Simplifying X2y = y Solving yX2 = y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -1y + yX2 = y + -1y Combine like terms: y + -1y = 0 -1y + yX2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-1 + X2) = 0 Factor a difference between two squares. y((1 + X)(-1 + X)) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(1 + X)' equal to zero and attempt to solve: Simplifying 1 + X = 0 Solving 1 + X = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X = 0 + -1 X = 0 + -1 Combine like terms: 0 + -1 = -1 X = -1 Add '-1X' to each side of the equation. X + -1X = -1 + -1X Combine like terms: X + -1X = 0 0 = -1 + -1X Simplifying 0 = -1 + -1X 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 '(-1 + X)' equal to zero and attempt to solve: Simplifying -1 + X = 0 Solving -1 + X = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + X = 0 + 1 X = 0 + 1 Combine like terms: 0 + 1 = 1 X = 1 Add '-1X' to each side of the equation. X + -1X = 1 + -1X Combine like terms: X + -1X = 0 0 = 1 + -1X Simplifying 0 = 1 + -1X The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
y = {0}
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