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Simplifying 8u2 + 7u = 0 Reorder the terms: 7u + 8u2 = 0 Solving 7u + 8u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'u'. u(7 + 8u) = 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 '(7 + 8u)' equal to zero and attempt to solve: Simplifying 7 + 8u = 0 Solving 7 + 8u = 0 Move all terms containing u to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8u = 0 + -7 8u = 0 + -7 Combine like terms: 0 + -7 = -7 8u = -7 Divide each side by '8'. u = -0.875 Simplifying u = -0.875Solution
u = {0, -0.875}
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