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Simplifying (3 + -1u)(5u + -4) = 0 Reorder the terms: (3 + -1u)(-4 + 5u) = 0 Multiply (3 + -1u) * (-4 + 5u) (3(-4 + 5u) + -1u * (-4 + 5u)) = 0 ((-4 * 3 + 5u * 3) + -1u * (-4 + 5u)) = 0 ((-12 + 15u) + -1u * (-4 + 5u)) = 0 (-12 + 15u + (-4 * -1u + 5u * -1u)) = 0 (-12 + 15u + (4u + -5u2)) = 0 Combine like terms: 15u + 4u = 19u (-12 + 19u + -5u2) = 0 Solving -12 + 19u + -5u2 = 0 Solving for variable 'u'. Factor a trinomial. (-3 + u)(4 + -5u) = 0Subproblem 1
Set the factor '(-3 + u)' equal to zero and attempt to solve: Simplifying -3 + u = 0 Solving -3 + u = 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 + u = 0 + 3 Combine like terms: -3 + 3 = 0 0 + u = 0 + 3 u = 0 + 3 Combine like terms: 0 + 3 = 3 u = 3 Simplifying u = 3Subproblem 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 = {3, 0.8}
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