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Simplifying (-2u2 + 5u + 3) + -1(-9u2 + -7u + 3) = 0 Reorder the terms: (3 + 5u + -2u2) + -1(-9u2 + -7u + 3) = 0 Remove parenthesis around (3 + 5u + -2u2) 3 + 5u + -2u2 + -1(-9u2 + -7u + 3) = 0 Reorder the terms: 3 + 5u + -2u2 + -1(3 + -7u + -9u2) = 0 3 + 5u + -2u2 + (3 * -1 + -7u * -1 + -9u2 * -1) = 0 3 + 5u + -2u2 + (-3 + 7u + 9u2) = 0 Reorder the terms: 3 + -3 + 5u + 7u + -2u2 + 9u2 = 0 Combine like terms: 3 + -3 = 0 0 + 5u + 7u + -2u2 + 9u2 = 0 5u + 7u + -2u2 + 9u2 = 0 Combine like terms: 5u + 7u = 12u 12u + -2u2 + 9u2 = 0 Combine like terms: -2u2 + 9u2 = 7u2 12u + 7u2 = 0 Solving 12u + 7u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'u'. u(12 + 7u) = 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 '(12 + 7u)' equal to zero and attempt to solve: Simplifying 12 + 7u = 0 Solving 12 + 7u = 0 Move all terms containing u to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7u = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7u = 0 + -12 7u = 0 + -12 Combine like terms: 0 + -12 = -12 7u = -12 Divide each side by '7'. u = -1.714285714 Simplifying u = -1.714285714Solution
u = {0, -1.714285714}
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