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Simplifying (4u + 6)(4 + -1u) = 0 Reorder the terms: (6 + 4u)(4 + -1u) = 0 Multiply (6 + 4u) * (4 + -1u) (6(4 + -1u) + 4u * (4 + -1u)) = 0 ((4 * 6 + -1u * 6) + 4u * (4 + -1u)) = 0 ((24 + -6u) + 4u * (4 + -1u)) = 0 (24 + -6u + (4 * 4u + -1u * 4u)) = 0 (24 + -6u + (16u + -4u2)) = 0 Combine like terms: -6u + 16u = 10u (24 + 10u + -4u2) = 0 Solving 24 + 10u + -4u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2'. 2(12 + 5u + -2u2) = 0 Factor a trinomial. 2((4 + -1u)(3 + 2u)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -1u)' equal to zero and attempt to solve: Simplifying 4 + -1u = 0 Solving 4 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1u = 0 + -4 -1u = 0 + -4 Combine like terms: 0 + -4 = -4 -1u = -4 Divide each side by '-1'. u = 4 Simplifying u = 4Subproblem 2
Set the factor '(3 + 2u)' equal to zero and attempt to solve: Simplifying 3 + 2u = 0 Solving 3 + 2u = 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 + 2u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2u = 0 + -3 2u = 0 + -3 Combine like terms: 0 + -3 = -3 2u = -3 Divide each side by '2'. u = -1.5 Simplifying u = -1.5Solution
u = {4, -1.5}
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