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Simplifying 3u(10u * u + -8v + 2) = 0 Multiply u * u 3u(10u2 + -8v + 2) = 0 Reorder the terms: 3u(2 + 10u2 + -8v) = 0 (2 * 3u + 10u2 * 3u + -8v * 3u) = 0 Reorder the terms: (6u + -24uv + 30u3) = 0 (6u + -24uv + 30u3) = 0 Solving 6u + -24uv + 30u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '6u'. 6u(1 + -4v + 5u2) = 0 Ignore the factor 6.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 '(1 + -4v + 5u2)' equal to zero and attempt to solve: Simplifying 1 + -4v + 5u2 = 0 Reorder the terms: 1 + 5u2 + -4v = 0 Solving 1 + 5u2 + -4v = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 5u2 + -1 + -4v = 0 + -1 Reorder the terms: 1 + -1 + 5u2 + -4v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5u2 + -4v = 0 + -1 5u2 + -4v = 0 + -1 Combine like terms: 0 + -1 = -1 5u2 + -4v = -1 Add '4v' to each side of the equation. 5u2 + -4v + 4v = -1 + 4v Combine like terms: -4v + 4v = 0 5u2 + 0 = -1 + 4v 5u2 = -1 + 4v Divide each side by '5'. u2 = -0.2 + 0.8v Simplifying u2 = -0.2 + 0.8v The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
u = {0}
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