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Simplifying (6 + -1u)(5u + -4) = 0 Reorder the terms: (6 + -1u)(-4 + 5u) = 0 Multiply (6 + -1u) * (-4 + 5u) (6(-4 + 5u) + -1u * (-4 + 5u)) = 0 ((-4 * 6 + 5u * 6) + -1u * (-4 + 5u)) = 0 ((-24 + 30u) + -1u * (-4 + 5u)) = 0 (-24 + 30u + (-4 * -1u + 5u * -1u)) = 0 (-24 + 30u + (4u + -5u2)) = 0 Combine like terms: 30u + 4u = 34u (-24 + 34u + -5u2) = 0 Solving -24 + 34u + -5u2 = 0 Solving for variable 'u'. Factor a trinomial. (-6 + u)(4 + -5u) = 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 '(4 + -5u)' equal to zero and attempt to solve: Simplifying 4 + -5u = 0 Solving 4 + -5u = 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 + -5u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5u = 0 + -4 -5u = 0 + -4 Combine like terms: 0 + -4 = -4 -5u = -4 Divide each side by '-5'. u = 0.8 Simplifying u = 0.8Solution
u = {6, 0.8}
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