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Simplifying 4u(3u + 2) + 5u(2u + -7) = 0 Reorder the terms: 4u(2 + 3u) + 5u(2u + -7) = 0 (2 * 4u + 3u * 4u) + 5u(2u + -7) = 0 (8u + 12u2) + 5u(2u + -7) = 0 Reorder the terms: 8u + 12u2 + 5u(-7 + 2u) = 0 8u + 12u2 + (-7 * 5u + 2u * 5u) = 0 8u + 12u2 + (-35u + 10u2) = 0 Reorder the terms: 8u + -35u + 12u2 + 10u2 = 0 Combine like terms: 8u + -35u = -27u -27u + 12u2 + 10u2 = 0 Combine like terms: 12u2 + 10u2 = 22u2 -27u + 22u2 = 0 Solving -27u + 22u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'u'. u(-27 + 22u) = 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 '(-27 + 22u)' equal to zero and attempt to solve: Simplifying -27 + 22u = 0 Solving -27 + 22u = 0 Move all terms containing u to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 22u = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 22u = 0 + 27 22u = 0 + 27 Combine like terms: 0 + 27 = 27 22u = 27 Divide each side by '22'. u = 1.227272727 Simplifying u = 1.227272727Solution
u = {0, 1.227272727}
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