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Simplifying 4u2 + 15u + 9 = 0 Reorder the terms: 9 + 15u + 4u2 = 0 Solving 9 + 15u + 4u2 = 0 Solving for variable 'u'. Factor a trinomial. (3 + u)(3 + 4u) = 0Subproblem 1
Set the factor '(3 + u)' equal to zero and attempt to solve: Simplifying 3 + u = 0 Solving 3 + u = 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 + u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + u = 0 + -3 u = 0 + -3 Combine like terms: 0 + -3 = -3 u = -3 Simplifying u = -3Subproblem 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 = {-3, -0.75}
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