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Simplifying 5u2 = 9u Solving 5u2 = 9u Solving for variable 'u'. Reorder the terms: -9u + 5u2 = 9u + -9u Combine like terms: 9u + -9u = 0 -9u + 5u2 = 0 Factor out the Greatest Common Factor (GCF), 'u'. u(-9 + 5u) = 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 '(-9 + 5u)' equal to zero and attempt to solve: Simplifying -9 + 5u = 0 Solving -9 + 5u = 0 Move all terms containing u to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5u = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5u = 0 + 9 5u = 0 + 9 Combine like terms: 0 + 9 = 9 5u = 9 Divide each side by '5'. u = 1.8 Simplifying u = 1.8Solution
u = {0, 1.8}
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