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Simplifying (4u + 6)(8 + -1u) = 0 Reorder the terms: (6 + 4u)(8 + -1u) = 0 Multiply (6 + 4u) * (8 + -1u) (6(8 + -1u) + 4u * (8 + -1u)) = 0 ((8 * 6 + -1u * 6) + 4u * (8 + -1u)) = 0 ((48 + -6u) + 4u * (8 + -1u)) = 0 (48 + -6u + (8 * 4u + -1u * 4u)) = 0 (48 + -6u + (32u + -4u2)) = 0 Combine like terms: -6u + 32u = 26u (48 + 26u + -4u2) = 0 Solving 48 + 26u + -4u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2'. 2(24 + 13u + -2u2) = 0 Factor a trinomial. 2((8 + -1u)(3 + 2u)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -1u)' equal to zero and attempt to solve: Simplifying 8 + -1u = 0 Solving 8 + -1u = 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 + -1u = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1u = 0 + -8 -1u = 0 + -8 Combine like terms: 0 + -8 = -8 -1u = -8 Divide each side by '-1'. u = 8 Simplifying u = 8Subproblem 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 = {8, -1.5}
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