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Simplifying 4u2 + 7u = -3 Reorder the terms: 7u + 4u2 = -3 Solving 7u + 4u2 = -3 Solving for variable 'u'. Reorder the terms: 3 + 7u + 4u2 = -3 + 3 Combine like terms: -3 + 3 = 0 3 + 7u + 4u2 = 0 Factor a trinomial. (1 + u)(3 + 4u) = 0Subproblem 1
Set the factor '(1 + u)' equal to zero and attempt to solve: Simplifying 1 + u = 0 Solving 1 + u = 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 + u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + u = 0 + -1 u = 0 + -1 Combine like terms: 0 + -1 = -1 u = -1 Simplifying u = -1Subproblem 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 = {-1, -0.75}
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