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Simplifying (9 + -1u)(5u + -3) = 0 Reorder the terms: (9 + -1u)(-3 + 5u) = 0 Multiply (9 + -1u) * (-3 + 5u) (9(-3 + 5u) + -1u * (-3 + 5u)) = 0 ((-3 * 9 + 5u * 9) + -1u * (-3 + 5u)) = 0 ((-27 + 45u) + -1u * (-3 + 5u)) = 0 (-27 + 45u + (-3 * -1u + 5u * -1u)) = 0 (-27 + 45u + (3u + -5u2)) = 0 Combine like terms: 45u + 3u = 48u (-27 + 48u + -5u2) = 0 Solving -27 + 48u + -5u2 = 0 Solving for variable 'u'. Factor a trinomial. (-9 + u)(3 + -5u) = 0Subproblem 1
Set the factor '(-9 + u)' equal to zero and attempt to solve: Simplifying -9 + u = 0 Solving -9 + u = 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 + u = 0 + 9 Combine like terms: -9 + 9 = 0 0 + u = 0 + 9 u = 0 + 9 Combine like terms: 0 + 9 = 9 u = 9 Simplifying u = 9Subproblem 2
Set the factor '(3 + -5u)' equal to zero and attempt to solve: Simplifying 3 + -5u = 0 Solving 3 + -5u = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5u = 0 + -3 -5u = 0 + -3 Combine like terms: 0 + -3 = -3 -5u = -3 Divide each side by '-5'. u = 0.6 Simplifying u = 0.6Solution
u = {9, 0.6}
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