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Simplifying (8u + 5)(u + -3) = 0 Reorder the terms: (5 + 8u)(u + -3) = 0 Reorder the terms: (5 + 8u)(-3 + u) = 0 Multiply (5 + 8u) * (-3 + u) (5(-3 + u) + 8u * (-3 + u)) = 0 ((-3 * 5 + u * 5) + 8u * (-3 + u)) = 0 ((-15 + 5u) + 8u * (-3 + u)) = 0 (-15 + 5u + (-3 * 8u + u * 8u)) = 0 (-15 + 5u + (-24u + 8u2)) = 0 Combine like terms: 5u + -24u = -19u (-15 + -19u + 8u2) = 0 Solving -15 + -19u + 8u2 = 0 Solving for variable 'u'. Factor a trinomial. (-5 + -8u)(3 + -1u) = 0Subproblem 1
Set the factor '(-5 + -8u)' equal to zero and attempt to solve: Simplifying -5 + -8u = 0 Solving -5 + -8u = 0 Move all terms containing u to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -8u = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8u = 0 + 5 -8u = 0 + 5 Combine like terms: 0 + 5 = 5 -8u = 5 Divide each side by '-8'. u = -0.625 Simplifying u = -0.625Subproblem 2
Set the factor '(3 + -1u)' equal to zero and attempt to solve: Simplifying 3 + -1u = 0 Solving 3 + -1u = 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 + -1u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1u = 0 + -3 -1u = 0 + -3 Combine like terms: 0 + -3 = -3 -1u = -3 Divide each side by '-1'. u = 3 Simplifying u = 3Solution
u = {-0.625, 3}
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