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Simplifying 5u(3u + -2) + 2u(3u + -5) = 0 Reorder the terms: 5u(-2 + 3u) + 2u(3u + -5) = 0 (-2 * 5u + 3u * 5u) + 2u(3u + -5) = 0 (-10u + 15u2) + 2u(3u + -5) = 0 Reorder the terms: -10u + 15u2 + 2u(-5 + 3u) = 0 -10u + 15u2 + (-5 * 2u + 3u * 2u) = 0 -10u + 15u2 + (-10u + 6u2) = 0 Reorder the terms: -10u + -10u + 15u2 + 6u2 = 0 Combine like terms: -10u + -10u = -20u -20u + 15u2 + 6u2 = 0 Combine like terms: 15u2 + 6u2 = 21u2 -20u + 21u2 = 0 Solving -20u + 21u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'u'. u(-20 + 21u) = 0Subproblem 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 '(-20 + 21u)' equal to zero and attempt to solve: Simplifying -20 + 21u = 0 Solving -20 + 21u = 0 Move all terms containing u to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 21u = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 21u = 0 + 20 21u = 0 + 20 Combine like terms: 0 + 20 = 20 21u = 20 Divide each side by '21'. u = 0.9523809524 Simplifying u = 0.9523809524Solution
u = {0, 0.9523809524}
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