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Simplifying 5u = 4u2 + -6 Reorder the terms: 5u = -6 + 4u2 Solving 5u = -6 + 4u2 Solving for variable 'u'. Reorder the terms: 6 + 5u + -4u2 = -6 + 4u2 + 6 + -4u2 Reorder the terms: 6 + 5u + -4u2 = -6 + 6 + 4u2 + -4u2 Combine like terms: -6 + 6 = 0 6 + 5u + -4u2 = 0 + 4u2 + -4u2 6 + 5u + -4u2 = 4u2 + -4u2 Combine like terms: 4u2 + -4u2 = 0 6 + 5u + -4u2 = 0 Factor a trinomial. (2 + -1u)(3 + 4u) = 0Subproblem 1
Set the factor '(2 + -1u)' equal to zero and attempt to solve: Simplifying 2 + -1u = 0 Solving 2 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1u = 0 + -2 -1u = 0 + -2 Combine like terms: 0 + -2 = -2 -1u = -2 Divide each side by '-1'. u = 2 Simplifying u = 2Subproblem 2
Set the factor '(3 + 4u)' equal to zero and attempt to solve: Simplifying 3 + 4u = 0 Solving 3 + 4u = 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 + 4u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4u = 0 + -3 4u = 0 + -3 Combine like terms: 0 + -3 = -3 4u = -3 Divide each side by '4'. u = -0.75 Simplifying u = -0.75Solution
u = {2, -0.75}
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