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Simplifying X2y + -1y3 = 0 Solving yX2 + -1y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(X2 + -1y2) = 0 Factor a difference between two squares. y((X + y)(X + -1y)) = 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 '(X + y)' equal to zero and attempt to solve: Simplifying X + y = 0 Solving X + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1X' to each side of the equation. X + -1X + y = 0 + -1X Combine like terms: X + -1X = 0 0 + y = 0 + -1X y = 0 + -1X Remove the zero: y = -1X Simplifying y = -1XSubproblem 3
Set the factor '(X + -1y)' equal to zero and attempt to solve: Simplifying X + -1y = 0 Solving X + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1X' to each side of the equation. X + -1X + -1y = 0 + -1X Combine like terms: X + -1X = 0 0 + -1y = 0 + -1X -1y = 0 + -1X Remove the zero: -1y = -1X Divide each side by '-1'. y = X Simplifying y = XSolution
y = {0, -1X, X}
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