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Simplifying (2u + -9)(4 + u) = 0 Reorder the terms: (-9 + 2u)(4 + u) = 0 Multiply (-9 + 2u) * (4 + u) (-9(4 + u) + 2u * (4 + u)) = 0 ((4 * -9 + u * -9) + 2u * (4 + u)) = 0 ((-36 + -9u) + 2u * (4 + u)) = 0 (-36 + -9u + (4 * 2u + u * 2u)) = 0 (-36 + -9u + (8u + 2u2)) = 0 Combine like terms: -9u + 8u = -1u (-36 + -1u + 2u2) = 0 Solving -36 + -1u + 2u2 = 0 Solving for variable 'u'. Factor a trinomial. (-4 + -1u)(9 + -2u) = 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 '(9 + -2u)' equal to zero and attempt to solve: Simplifying 9 + -2u = 0 Solving 9 + -2u = 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 + -2u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2u = 0 + -9 -2u = 0 + -9 Combine like terms: 0 + -9 = -9 -2u = -9 Divide each side by '-2'. u = 4.5 Simplifying u = 4.5Solution
u = {-4, 4.5}
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