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Simplifying (5u + -2)(9 + u) = 0 Reorder the terms: (-2 + 5u)(9 + u) = 0 Multiply (-2 + 5u) * (9 + u) (-2(9 + u) + 5u * (9 + u)) = 0 ((9 * -2 + u * -2) + 5u * (9 + u)) = 0 ((-18 + -2u) + 5u * (9 + u)) = 0 (-18 + -2u + (9 * 5u + u * 5u)) = 0 (-18 + -2u + (45u + 5u2)) = 0 Combine like terms: -2u + 45u = 43u (-18 + 43u + 5u2) = 0 Solving -18 + 43u + 5u2 = 0 Solving for variable 'u'. Factor a trinomial. (-9 + -1u)(2 + -5u) = 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 '(2 + -5u)' equal to zero and attempt to solve: Simplifying 2 + -5u = 0 Solving 2 + -5u = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5u = 0 + -2 -5u = 0 + -2 Combine like terms: 0 + -2 = -2 -5u = -2 Divide each side by '-5'. u = 0.4 Simplifying u = 0.4Solution
u = {-9, 0.4}
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