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Simplifying (7 + u)(4u + -9) = 0 Reorder the terms: (7 + u)(-9 + 4u) = 0 Multiply (7 + u) * (-9 + 4u) (7(-9 + 4u) + u(-9 + 4u)) = 0 ((-9 * 7 + 4u * 7) + u(-9 + 4u)) = 0 ((-63 + 28u) + u(-9 + 4u)) = 0 (-63 + 28u + (-9 * u + 4u * u)) = 0 (-63 + 28u + (-9u + 4u2)) = 0 Combine like terms: 28u + -9u = 19u (-63 + 19u + 4u2) = 0 Solving -63 + 19u + 4u2 = 0 Solving for variable 'u'. Factor a trinomial. (-7 + -1u)(9 + -4u) = 0Subproblem 1
Set the factor '(-7 + -1u)' equal to zero and attempt to solve: Simplifying -7 + -1u = 0 Solving -7 + -1u = 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 + -1u = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1u = 0 + 7 -1u = 0 + 7 Combine like terms: 0 + 7 = 7 -1u = 7 Divide each side by '-1'. 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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