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Simplifying 16u2 + -24u + 9 = 0 Reorder the terms: 9 + -24u + 16u2 = 0 Solving 9 + -24u + 16u2 = 0 Solving for variable 'u'. Factor a trinomial. (3 + -4u)(3 + -4u) = 0Subproblem 1
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 = 0.75Subproblem 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 = {0.75, 0.75}
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