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Simplifying (5 + -1u)(4 + 7u) = 0 Multiply (5 + -1u) * (4 + 7u) (5(4 + 7u) + -1u * (4 + 7u)) = 0 ((4 * 5 + 7u * 5) + -1u * (4 + 7u)) = 0 ((20 + 35u) + -1u * (4 + 7u)) = 0 (20 + 35u + (4 * -1u + 7u * -1u)) = 0 (20 + 35u + (-4u + -7u2)) = 0 Combine like terms: 35u + -4u = 31u (20 + 31u + -7u2) = 0 Solving 20 + 31u + -7u2 = 0 Solving for variable 'u'. Factor a trinomial. (5 + -1u)(4 + 7u) = 0Subproblem 1
Set the factor '(5 + -1u)' equal to zero and attempt to solve: Simplifying 5 + -1u = 0 Solving 5 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1u = 0 + -5 -1u = 0 + -5 Combine like terms: 0 + -5 = -5 -1u = -5 Divide each side by '-1'. u = 5 Simplifying u = 5Subproblem 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 = {5, -0.5714285714}
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