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Simplifying (4u + -2)(9 + -1u) = 0 Reorder the terms: (-2 + 4u)(9 + -1u) = 0 Multiply (-2 + 4u) * (9 + -1u) (-2(9 + -1u) + 4u * (9 + -1u)) = 0 ((9 * -2 + -1u * -2) + 4u * (9 + -1u)) = 0 ((-18 + 2u) + 4u * (9 + -1u)) = 0 (-18 + 2u + (9 * 4u + -1u * 4u)) = 0 (-18 + 2u + (36u + -4u2)) = 0 Combine like terms: 2u + 36u = 38u (-18 + 38u + -4u2) = 0 Solving -18 + 38u + -4u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + 19u + -2u2) = 0 Factor a trinomial. 2((-9 + u)(1 + -2u)) = 0 Ignore the factor 2.Subproblem 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 '(1 + -2u)' equal to zero and attempt to solve: Simplifying 1 + -2u = 0 Solving 1 + -2u = 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 + -2u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2u = 0 + -1 -2u = 0 + -1 Combine like terms: 0 + -1 = -1 -2u = -1 Divide each side by '-2'. u = 0.5 Simplifying u = 0.5Solution
u = {9, 0.5}
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