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Simplifying (Y2)(y2) = y2 Multiply Y2 * y2 y2Y2 = y2 Solving y2Y2 = y2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y2' to each side of the equation. -1y2 + y2Y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -1y2 + y2Y2 = 0 Factor out the Greatest Common Factor (GCF), 'y2'. y2(-1 + Y2) = 0 Factor a difference between two squares. y2((1 + Y)(-1 + Y)) = 0Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}Subproblem 2
Set the factor '(1 + Y)' equal to zero and attempt to solve: Simplifying 1 + Y = 0 Solving 1 + Y = 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 + Y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + Y = 0 + -1 Y = 0 + -1 Combine like terms: 0 + -1 = -1 Y = -1 Add '-1Y' to each side of the equation. Y + -1Y = -1 + -1Y Combine like terms: Y + -1Y = 0 0 = -1 + -1Y Simplifying 0 = -1 + -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 '(-1 + Y)' equal to zero and attempt to solve: Simplifying -1 + Y = 0 Solving -1 + Y = 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 + Y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + Y = 0 + 1 Y = 0 + 1 Combine like terms: 0 + 1 = 1 Y = 1 Add '-1Y' to each side of the equation. Y + -1Y = 1 + -1Y Combine like terms: Y + -1Y = 0 0 = 1 + -1Y Simplifying 0 = 1 + -1Y 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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