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Simplifying uv3 + -1u3v = 0 Solving uv3 + -1u3v = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'uv'. uv(v2 + -1u2) = 0 Factor a difference between two squares. uv((v + u)(v + -1u)) = 0Subproblem 1
Set the factor 'uv' equal to zero and attempt to solve: Simplifying uv = 0 Solving uv = 0 Move all terms containing u to the left, all other terms to the right. Simplifying uv = 0 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 '(v + u)' equal to zero and attempt to solve: Simplifying v + u = 0 Reorder the terms: u + v = 0 Solving u + v = 0 Move all terms containing u to the left, all other terms to the right. Add '-1v' to each side of the equation. u + v + -1v = 0 + -1v Combine like terms: v + -1v = 0 u + 0 = 0 + -1v u = 0 + -1v Remove the zero: u = -1v Simplifying u = -1vSubproblem 3
Set the factor '(v + -1u)' equal to zero and attempt to solve: Simplifying v + -1u = 0 Reorder the terms: -1u + v = 0 Solving -1u + v = 0 Move all terms containing u to the left, all other terms to the right. Add '-1v' to each side of the equation. -1u + v + -1v = 0 + -1v Combine like terms: v + -1v = 0 -1u + 0 = 0 + -1v -1u = 0 + -1v Remove the zero: -1u = -1v Divide each side by '-1'. u = v Simplifying u = vSolution
u = {-1v, v}
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