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Simplifying (-5u + -1)(-1u + 9) = 0 Reorder the terms: (-1 + -5u)(-1u + 9) = 0 Reorder the terms: (-1 + -5u)(9 + -1u) = 0 Multiply (-1 + -5u) * (9 + -1u) (-1(9 + -1u) + -5u * (9 + -1u)) = 0 ((9 * -1 + -1u * -1) + -5u * (9 + -1u)) = 0 ((-9 + 1u) + -5u * (9 + -1u)) = 0 (-9 + 1u + (9 * -5u + -1u * -5u)) = 0 (-9 + 1u + (-45u + 5u2)) = 0 Combine like terms: 1u + -45u = -44u (-9 + -44u + 5u2) = 0 Solving -9 + -44u + 5u2 = 0 Solving for variable 'u'. Factor a trinomial. (-1 + -5u)(9 + -1u) = 0Subproblem 1
Set the factor '(-1 + -5u)' equal to zero and attempt to solve: Simplifying -1 + -5u = 0 Solving -1 + -5u = 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 + -5u = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5u = 0 + 1 -5u = 0 + 1 Combine like terms: 0 + 1 = 1 -5u = 1 Divide each side by '-5'. u = -0.2 Simplifying u = -0.2Subproblem 2
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 = 9Solution
u = {-0.2, 9}
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