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Simplifying (4 + -1u)(4u + -9) = 0 Reorder the terms: (4 + -1u)(-9 + 4u) = 0 Multiply (4 + -1u) * (-9 + 4u) (4(-9 + 4u) + -1u * (-9 + 4u)) = 0 ((-9 * 4 + 4u * 4) + -1u * (-9 + 4u)) = 0 ((-36 + 16u) + -1u * (-9 + 4u)) = 0 (-36 + 16u + (-9 * -1u + 4u * -1u)) = 0 (-36 + 16u + (9u + -4u2)) = 0 Combine like terms: 16u + 9u = 25u (-36 + 25u + -4u2) = 0 Solving -36 + 25u + -4u2 = 0 Solving for variable 'u'. Factor a trinomial. (-4 + u)(9 + -4u) = 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 '(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 = {4, 2.25}
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