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Simplifying (6 + -1u)(4u + -5) = 0 Reorder the terms: (6 + -1u)(-5 + 4u) = 0 Multiply (6 + -1u) * (-5 + 4u) (6(-5 + 4u) + -1u * (-5 + 4u)) = 0 ((-5 * 6 + 4u * 6) + -1u * (-5 + 4u)) = 0 ((-30 + 24u) + -1u * (-5 + 4u)) = 0 (-30 + 24u + (-5 * -1u + 4u * -1u)) = 0 (-30 + 24u + (5u + -4u2)) = 0 Combine like terms: 24u + 5u = 29u (-30 + 29u + -4u2) = 0 Solving -30 + 29u + -4u2 = 0 Solving for variable 'u'. Factor a trinomial. (-6 + u)(5 + -4u) = 0Subproblem 1
Set the factor '(-6 + u)' equal to zero and attempt to solve: Simplifying -6 + u = 0 Solving -6 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + u = 0 + 6 Combine like terms: -6 + 6 = 0 0 + u = 0 + 6 u = 0 + 6 Combine like terms: 0 + 6 = 6 u = 6 Simplifying u = 6Subproblem 2
Set the factor '(5 + -4u)' equal to zero and attempt to solve: Simplifying 5 + -4u = 0 Solving 5 + -4u = 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 + -4u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4u = 0 + -5 -4u = 0 + -5 Combine like terms: 0 + -5 = -5 -4u = -5 Divide each side by '-4'. u = 1.25 Simplifying u = 1.25Solution
u = {6, 1.25}
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