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Simplifying 16u2 + -32u = 9 Reorder the terms: -32u + 16u2 = 9 Solving -32u + 16u2 = 9 Solving for variable 'u'. Reorder the terms: -9 + -32u + 16u2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + -32u + 16u2 = 0 Factor a trinomial. (-1 + -4u)(9 + -4u) = 0Subproblem 1
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 = -0.25Subproblem 2
Set the factor '(9 + -4u)' equal to zero and attempt to solve: Simplifying 9 + -4u = 0 Solving 9 + -4u = 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 + -4u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4u = 0 + -9 -4u = 0 + -9 Combine like terms: 0 + -9 = -9 -4u = -9 Divide each side by '-4'. u = 2.25 Simplifying u = 2.25Solution
u = {-0.25, 2.25}
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