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Simplifying 6u(-10 + -10u + 9) = 0 Reorder the terms: 6u(-10 + 9 + -10u) = 0 Combine like terms: -10 + 9 = -1 6u(-1 + -10u) = 0 (-1 * 6u + -10u * 6u) = 0 (-6u + -60u2) = 0 Solving -6u + -60u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '-6u'. -6u(1 + 10u) = 0 Ignore the factor -6.Subproblem 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 '(1 + 10u)' equal to zero and attempt to solve: Simplifying 1 + 10u = 0 Solving 1 + 10u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 10u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10u = 0 + -1 10u = 0 + -1 Combine like terms: 0 + -1 = -1 10u = -1 Divide each side by '10'. u = -0.1 Simplifying u = -0.1Solution
u = {0, -0.1}
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