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Simplifying -9 = -35u + -4u2 Solving -9 = -35u + -4u2 Solving for variable 'u'. Reorder the terms: -9 + 35u + 4u2 = -35u + 35u + -4u2 + 4u2 Combine like terms: -35u + 35u = 0 -9 + 35u + 4u2 = 0 + -4u2 + 4u2 -9 + 35u + 4u2 = -4u2 + 4u2 Combine like terms: -4u2 + 4u2 = 0 -9 + 35u + 4u2 = 0 Factor a trinomial. (-9 + -1u)(1 + -4u) = 0Subproblem 1
Set the factor '(-9 + -1u)' equal to zero and attempt to solve: Simplifying -9 + -1u = 0 Solving -9 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1u = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1u = 0 + 9 -1u = 0 + 9 Combine like terms: 0 + 9 = 9 -1u = 9 Divide each side by '-1'. u = -9 Simplifying u = -9Subproblem 2
Set the factor '(1 + -4u)' equal to zero and attempt to solve: Simplifying 1 + -4u = 0 Solving 1 + -4u = 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 + -4u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4u = 0 + -1 -4u = 0 + -1 Combine like terms: 0 + -1 = -1 -4u = -1 Divide each side by '-4'. u = 0.25 Simplifying u = 0.25Solution
u = {-9, 0.25}
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