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Simplifying (4u + -7)(4 + u) = 0 Reorder the terms: (-7 + 4u)(4 + u) = 0 Multiply (-7 + 4u) * (4 + u) (-7(4 + u) + 4u * (4 + u)) = 0 ((4 * -7 + u * -7) + 4u * (4 + u)) = 0 ((-28 + -7u) + 4u * (4 + u)) = 0 (-28 + -7u + (4 * 4u + u * 4u)) = 0 (-28 + -7u + (16u + 4u2)) = 0 Combine like terms: -7u + 16u = 9u (-28 + 9u + 4u2) = 0 Solving -28 + 9u + 4u2 = 0 Solving for variable 'u'. Factor a trinomial. (-4 + -1u)(7 + -4u) = 0Subproblem 1
Set the factor '(-4 + -1u)' equal to zero and attempt to solve: Simplifying -4 + -1u = 0 Solving -4 + -1u = 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 + -1u = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1u = 0 + 4 -1u = 0 + 4 Combine like terms: 0 + 4 = 4 -1u = 4 Divide each side by '-1'. u = -4 Simplifying u = -4Subproblem 2
Set the factor '(7 + -4u)' equal to zero and attempt to solve: Simplifying 7 + -4u = 0 Solving 7 + -4u = 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 + -4u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4u = 0 + -7 -4u = 0 + -7 Combine like terms: 0 + -7 = -7 -4u = -7 Divide each side by '-4'. u = 1.75 Simplifying u = 1.75Solution
u = {-4, 1.75}
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