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Simplifying (4u + -1)(9 + u) = 0 Reorder the terms: (-1 + 4u)(9 + u) = 0 Multiply (-1 + 4u) * (9 + u) (-1(9 + u) + 4u * (9 + u)) = 0 ((9 * -1 + u * -1) + 4u * (9 + u)) = 0 ((-9 + -1u) + 4u * (9 + u)) = 0 (-9 + -1u + (9 * 4u + u * 4u)) = 0 (-9 + -1u + (36u + 4u2)) = 0 Combine like terms: -1u + 36u = 35u (-9 + 35u + 4u2) = 0 Solving -9 + 35u + 4u2 = 0 Solving for variable 'u'. Factor a trinomial. (-9 + -1u)(1 + -4u) = 0Subproblem 1
Set the factor '(-9 + -1u)' equal to zero and attempt to solve: Simplifying -9 + -1u = 0 Solving -9 + -1u = 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 + -1u = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1u = 0 + 9 -1u = 0 + 9 Combine like terms: 0 + 9 = 9 -1u = 9 Divide each side by '-1'. u = -9 Simplifying u = -9Subproblem 2
Set the factor '(1 + -4u)' equal to zero and attempt to solve: Simplifying 1 + -4u = 0 Solving 1 + -4u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4u = 0 + -1 -4u = 0 + -1 Combine like terms: 0 + -1 = -1 -4u = -1 Divide each side by '-4'. u = 0.25 Simplifying u = 0.25Solution
u = {-9, 0.25}
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