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Simplifying (3u + -7)(4 + -1u) = 0 Reorder the terms: (-7 + 3u)(4 + -1u) = 0 Multiply (-7 + 3u) * (4 + -1u) (-7(4 + -1u) + 3u * (4 + -1u)) = 0 ((4 * -7 + -1u * -7) + 3u * (4 + -1u)) = 0 ((-28 + 7u) + 3u * (4 + -1u)) = 0 (-28 + 7u + (4 * 3u + -1u * 3u)) = 0 (-28 + 7u + (12u + -3u2)) = 0 Combine like terms: 7u + 12u = 19u (-28 + 19u + -3u2) = 0 Solving -28 + 19u + -3u2 = 0 Solving for variable 'u'. Factor a trinomial. (-4 + u)(7 + -3u) = 0Subproblem 1
Set the factor '(-4 + u)' equal to zero and attempt to solve: Simplifying -4 + u = 0 Solving -4 + u = 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 + u = 0 + 4 Combine like terms: -4 + 4 = 0 0 + u = 0 + 4 u = 0 + 4 Combine like terms: 0 + 4 = 4 u = 4 Simplifying u = 4Subproblem 2
Set the factor '(7 + -3u)' equal to zero and attempt to solve: Simplifying 7 + -3u = 0 Solving 7 + -3u = 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 + -3u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3u = 0 + -7 -3u = 0 + -7 Combine like terms: 0 + -7 = -7 -3u = -7 Divide each side by '-3'. u = 2.333333333 Simplifying u = 2.333333333Solution
u = {4, 2.333333333}
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