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Simplifying 12u2 + 94u + -16 = 0 Reorder the terms: -16 + 94u + 12u2 = 0 Solving -16 + 94u + 12u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + 47u + 6u2) = 0 Factor a trinomial. 2((-8 + -1u)(1 + -6u)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + -1u)' equal to zero and attempt to solve: Simplifying -8 + -1u = 0 Solving -8 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1u = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1u = 0 + 8 -1u = 0 + 8 Combine like terms: 0 + 8 = 8 -1u = 8 Divide each side by '-1'. u = -8 Simplifying u = -8Subproblem 2
Set the factor '(1 + -6u)' equal to zero and attempt to solve: Simplifying 1 + -6u = 0 Solving 1 + -6u = 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 + -6u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6u = 0 + -1 -6u = 0 + -1 Combine like terms: 0 + -1 = -1 -6u = -1 Divide each side by '-6'. u = 0.1666666667 Simplifying u = 0.1666666667Solution
u = {-8, 0.1666666667}
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