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Simplifying 7u2 + 53u + 28 = 0 Reorder the terms: 28 + 53u + 7u2 = 0 Solving 28 + 53u + 7u2 = 0 Solving for variable 'u'. Factor a trinomial. (7 + u)(4 + 7u) = 0Subproblem 1
Set the factor '(7 + u)' equal to zero and attempt to solve: Simplifying 7 + u = 0 Solving 7 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + u = 0 + -7 u = 0 + -7 Combine like terms: 0 + -7 = -7 u = -7 Simplifying u = -7Subproblem 2
Set the factor '(4 + 7u)' equal to zero and attempt to solve: Simplifying 4 + 7u = 0 Solving 4 + 7u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7u = 0 + -4 7u = 0 + -4 Combine like terms: 0 + -4 = -4 7u = -4 Divide each side by '7'. u = -0.5714285714 Simplifying u = -0.5714285714Solution
u = {-7, -0.5714285714}
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