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Simplifying 2uv2 + -72u3 = 0 Solving 2uv2 + -72u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2u'. 2u(v2 + -36u2) = 0 Factor a difference between two squares. 2u((v + 6u)(v + -6u)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0Subproblem 2
Set the factor '(v + 6u)' equal to zero and attempt to solve: Simplifying v + 6u = 0 Reorder the terms: 6u + v = 0 Solving 6u + v = 0 Move all terms containing u to the left, all other terms to the right. Add '-1v' to each side of the equation. 6u + v + -1v = 0 + -1v Combine like terms: v + -1v = 0 6u + 0 = 0 + -1v 6u = 0 + -1v Remove the zero: 6u = -1v Divide each side by '6'. u = -0.1666666667v Simplifying u = -0.1666666667vSubproblem 3
Set the factor '(v + -6u)' equal to zero and attempt to solve: Simplifying v + -6u = 0 Reorder the terms: -6u + v = 0 Solving -6u + v = 0 Move all terms containing u to the left, all other terms to the right. Add '-1v' to each side of the equation. -6u + v + -1v = 0 + -1v Combine like terms: v + -1v = 0 -6u + 0 = 0 + -1v -6u = 0 + -1v Remove the zero: -6u = -1v Divide each side by '-6'. u = 0.1666666667v Simplifying u = 0.1666666667vSolution
u = {0, -0.1666666667v, 0.1666666667v}
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