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Simplifying (4u + -9)(7 + -1u) = 0 Reorder the terms: (-9 + 4u)(7 + -1u) = 0 Multiply (-9 + 4u) * (7 + -1u) (-9(7 + -1u) + 4u * (7 + -1u)) = 0 ((7 * -9 + -1u * -9) + 4u * (7 + -1u)) = 0 ((-63 + 9u) + 4u * (7 + -1u)) = 0 (-63 + 9u + (7 * 4u + -1u * 4u)) = 0 (-63 + 9u + (28u + -4u2)) = 0 Combine like terms: 9u + 28u = 37u (-63 + 37u + -4u2) = 0 Solving -63 + 37u + -4u2 = 0 Solving for variable 'u'. Factor a trinomial. (-7 + u)(9 + -4u) = 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 '(9 + -4u)' equal to zero and attempt to solve: Simplifying 9 + -4u = 0 Solving 9 + -4u = 0 Move all terms containing u to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4u = 0 + -9 -4u = 0 + -9 Combine like terms: 0 + -9 = -9 -4u = -9 Divide each side by '-4'. u = 2.25 Simplifying u = 2.25Solution
u = {7, 2.25}
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