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Simplifying (4u + -9)(1 + -1u) = 0 Reorder the terms: (-9 + 4u)(1 + -1u) = 0 Multiply (-9 + 4u) * (1 + -1u) (-9(1 + -1u) + 4u * (1 + -1u)) = 0 ((1 * -9 + -1u * -9) + 4u * (1 + -1u)) = 0 ((-9 + 9u) + 4u * (1 + -1u)) = 0 (-9 + 9u + (1 * 4u + -1u * 4u)) = 0 (-9 + 9u + (4u + -4u2)) = 0 Combine like terms: 9u + 4u = 13u (-9 + 13u + -4u2) = 0 Solving -9 + 13u + -4u2 = 0 Solving for variable 'u'. Factor a trinomial. (-9 + 4u)(1 + -1u) = 0Subproblem 1
Set the factor '(-9 + 4u)' equal to zero and attempt to solve: Simplifying -9 + 4u = 0 Solving -9 + 4u = 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 + 4u = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4u = 0 + 9 4u = 0 + 9 Combine like terms: 0 + 9 = 9 4u = 9 Divide each side by '4'. u = 2.25 Simplifying u = 2.25Subproblem 2
Set the factor '(1 + -1u)' equal to zero and attempt to solve: Simplifying 1 + -1u = 0 Solving 1 + -1u = 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 + -1u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1u = 0 + -1 -1u = 0 + -1 Combine like terms: 0 + -1 = -1 -1u = -1 Divide each side by '-1'. u = 1 Simplifying u = 1Solution
u = {2.25, 1}
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