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Simplifying 7u(4u + 4) + u(9u + 8) = 0 Reorder the terms: 7u(4 + 4u) + u(9u + 8) = 0 (4 * 7u + 4u * 7u) + u(9u + 8) = 0 (28u + 28u2) + u(9u + 8) = 0 Reorder the terms: 28u + 28u2 + u(8 + 9u) = 0 28u + 28u2 + (8 * u + 9u * u) = 0 28u + 28u2 + (8u + 9u2) = 0 Reorder the terms: 28u + 8u + 28u2 + 9u2 = 0 Combine like terms: 28u + 8u = 36u 36u + 28u2 + 9u2 = 0 Combine like terms: 28u2 + 9u2 = 37u2 36u + 37u2 = 0 Solving 36u + 37u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'u'. u(36 + 37u) = 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 '(36 + 37u)' equal to zero and attempt to solve: Simplifying 36 + 37u = 0 Solving 36 + 37u = 0 Move all terms containing u to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 37u = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 37u = 0 + -36 37u = 0 + -36 Combine like terms: 0 + -36 = -36 37u = -36 Divide each side by '37'. u = -0.972972973 Simplifying u = -0.972972973Solution
u = {0, -0.972972973}
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