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Simplifying (8 + -1u)(4u + 3) = 0 Reorder the terms: (8 + -1u)(3 + 4u) = 0 Multiply (8 + -1u) * (3 + 4u) (8(3 + 4u) + -1u * (3 + 4u)) = 0 ((3 * 8 + 4u * 8) + -1u * (3 + 4u)) = 0 ((24 + 32u) + -1u * (3 + 4u)) = 0 (24 + 32u + (3 * -1u + 4u * -1u)) = 0 (24 + 32u + (-3u + -4u2)) = 0 Combine like terms: 32u + -3u = 29u (24 + 29u + -4u2) = 0 Solving 24 + 29u + -4u2 = 0 Solving for variable 'u'. Factor a trinomial. (8 + -1u)(3 + 4u) = 0Subproblem 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 + 4u)' equal to zero and attempt to solve: Simplifying 3 + 4u = 0 Solving 3 + 4u = 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 + 4u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4u = 0 + -3 4u = 0 + -3 Combine like terms: 0 + -3 = -3 4u = -3 Divide each side by '4'. u = -0.75 Simplifying u = -0.75Solution
u = {8, -0.75}
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