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Simplifying 3u(3u + -5) + 3u(4u + 3) = 0 Reorder the terms: 3u(-5 + 3u) + 3u(4u + 3) = 0 (-5 * 3u + 3u * 3u) + 3u(4u + 3) = 0 (-15u + 9u2) + 3u(4u + 3) = 0 Reorder the terms: -15u + 9u2 + 3u(3 + 4u) = 0 -15u + 9u2 + (3 * 3u + 4u * 3u) = 0 -15u + 9u2 + (9u + 12u2) = 0 Reorder the terms: -15u + 9u + 9u2 + 12u2 = 0 Combine like terms: -15u + 9u = -6u -6u + 9u2 + 12u2 = 0 Combine like terms: 9u2 + 12u2 = 21u2 -6u + 21u2 = 0 Solving -6u + 21u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '3u'. 3u(-2 + 7u) = 0 Ignore the factor 3.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 '(-2 + 7u)' equal to zero and attempt to solve: Simplifying -2 + 7u = 0 Solving -2 + 7u = 0 Move all terms containing u to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7u = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7u = 0 + 2 7u = 0 + 2 Combine like terms: 0 + 2 = 2 7u = 2 Divide each side by '7'. u = 0.2857142857 Simplifying u = 0.2857142857Solution
u = {0, 0.2857142857}
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