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Simplifying 5u2 + -11u + -12 = 0 Reorder the terms: -12 + -11u + 5u2 = 0 Solving -12 + -11u + 5u2 = 0 Solving for variable 'u'. Factor a trinomial. (-4 + -5u)(3 + -1u) = 0Subproblem 1
Set the factor '(-4 + -5u)' equal to zero and attempt to solve: Simplifying -4 + -5u = 0 Solving -4 + -5u = 0 Move all terms containing u to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5u = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5u = 0 + 4 -5u = 0 + 4 Combine like terms: 0 + 4 = 4 -5u = 4 Divide each side by '-5'. u = -0.8 Simplifying u = -0.8Subproblem 2
Set the factor '(3 + -1u)' equal to zero and attempt to solve: Simplifying 3 + -1u = 0 Solving 3 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1u = 0 + -3 -1u = 0 + -3 Combine like terms: 0 + -3 = -3 -1u = -3 Divide each side by '-1'. u = 3 Simplifying u = 3Solution
u = {-0.8, 3}
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