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Simplifying (9 + u)(5u + -8) = 0 Reorder the terms: (9 + u)(-8 + 5u) = 0 Multiply (9 + u) * (-8 + 5u) (9(-8 + 5u) + u(-8 + 5u)) = 0 ((-8 * 9 + 5u * 9) + u(-8 + 5u)) = 0 ((-72 + 45u) + u(-8 + 5u)) = 0 (-72 + 45u + (-8 * u + 5u * u)) = 0 (-72 + 45u + (-8u + 5u2)) = 0 Combine like terms: 45u + -8u = 37u (-72 + 37u + 5u2) = 0 Solving -72 + 37u + 5u2 = 0 Solving for variable 'u'. Factor a trinomial. (-9 + -1u)(8 + -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 '(8 + -5u)' equal to zero and attempt to solve: Simplifying 8 + -5u = 0 Solving 8 + -5u = 0 Move all terms containing u to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5u = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5u = 0 + -8 -5u = 0 + -8 Combine like terms: 0 + -8 = -8 -5u = -8 Divide each side by '-5'. u = 1.6 Simplifying u = 1.6Solution
u = {-9, 1.6}
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