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Simplifying 16u2 + 5u + -1(7u2 + -12u) = 0 Reorder the terms: 16u2 + 5u + -1(-12u + 7u2) = 0 16u2 + 5u + (-12u * -1 + 7u2 * -1) = 0 16u2 + 5u + (12u + -7u2) = 0 Reorder the terms: 5u + 12u + 16u2 + -7u2 = 0 Combine like terms: 5u + 12u = 17u 17u + 16u2 + -7u2 = 0 Combine like terms: 16u2 + -7u2 = 9u2 17u + 9u2 = 0 Solving 17u + 9u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'u'. u(17 + 9u) = 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 '(17 + 9u)' equal to zero and attempt to solve: Simplifying 17 + 9u = 0 Solving 17 + 9u = 0 Move all terms containing u to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 9u = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 9u = 0 + -17 9u = 0 + -17 Combine like terms: 0 + -17 = -17 9u = -17 Divide each side by '9'. u = -1.888888889 Simplifying u = -1.888888889Solution
u = {0, -1.888888889}
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