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Simplifying 9u(5 + -8u) + 9u(-2 + -4u) = 0 (5 * 9u + -8u * 9u) + 9u(-2 + -4u) = 0 (45u + -72u2) + 9u(-2 + -4u) = 0 45u + -72u2 + (-2 * 9u + -4u * 9u) = 0 45u + -72u2 + (-18u + -36u2) = 0 Reorder the terms: 45u + -18u + -72u2 + -36u2 = 0 Combine like terms: 45u + -18u = 27u 27u + -72u2 + -36u2 = 0 Combine like terms: -72u2 + -36u2 = -108u2 27u + -108u2 = 0 Solving 27u + -108u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '27u'. 27u(1 + -4u) = 0 Ignore the factor 27.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 + -4u)' equal to zero and attempt to solve: Simplifying 1 + -4u = 0 Solving 1 + -4u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4u = 0 + -1 -4u = 0 + -1 Combine like terms: 0 + -1 = -1 -4u = -1 Divide each side by '-4'. u = 0.25 Simplifying u = 0.25Solution
u = {0, 0.25}
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