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Simplifying (8 + -1u)(2u + -9) = 0 Reorder the terms: (8 + -1u)(-9 + 2u) = 0 Multiply (8 + -1u) * (-9 + 2u) (8(-9 + 2u) + -1u * (-9 + 2u)) = 0 ((-9 * 8 + 2u * 8) + -1u * (-9 + 2u)) = 0 ((-72 + 16u) + -1u * (-9 + 2u)) = 0 (-72 + 16u + (-9 * -1u + 2u * -1u)) = 0 (-72 + 16u + (9u + -2u2)) = 0 Combine like terms: 16u + 9u = 25u (-72 + 25u + -2u2) = 0 Solving -72 + 25u + -2u2 = 0 Solving for variable 'u'. Factor a trinomial. (-8 + u)(9 + -2u) = 0Subproblem 1
Set the factor '(-8 + u)' equal to zero and attempt to solve: Simplifying -8 + u = 0 Solving -8 + u = 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 + u = 0 + 8 Combine like terms: -8 + 8 = 0 0 + u = 0 + 8 u = 0 + 8 Combine like terms: 0 + 8 = 8 u = 8 Simplifying u = 8Subproblem 2
Set the factor '(9 + -2u)' equal to zero and attempt to solve: Simplifying 9 + -2u = 0 Solving 9 + -2u = 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 + -2u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2u = 0 + -9 -2u = 0 + -9 Combine like terms: 0 + -9 = -9 -2u = -9 Divide each side by '-2'. u = 4.5 Simplifying u = 4.5Solution
u = {8, 4.5}
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