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Simplifying (7 + u)(5u + 4) = 0 Reorder the terms: (7 + u)(4 + 5u) = 0 Multiply (7 + u) * (4 + 5u) (7(4 + 5u) + u(4 + 5u)) = 0 ((4 * 7 + 5u * 7) + u(4 + 5u)) = 0 ((28 + 35u) + u(4 + 5u)) = 0 (28 + 35u + (4 * u + 5u * u)) = 0 (28 + 35u + (4u + 5u2)) = 0 Combine like terms: 35u + 4u = 39u (28 + 39u + 5u2) = 0 Solving 28 + 39u + 5u2 = 0 Solving for variable 'u'. Factor a trinomial. (7 + u)(4 + 5u) = 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 + 5u)' equal to zero and attempt to solve: Simplifying 4 + 5u = 0 Solving 4 + 5u = 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 + 5u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5u = 0 + -4 5u = 0 + -4 Combine like terms: 0 + -4 = -4 5u = -4 Divide each side by '5'. u = -0.8 Simplifying u = -0.8Solution
u = {-7, -0.8}
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