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Simplifying (2 + -1u)(3u + -4) = 0 Reorder the terms: (2 + -1u)(-4 + 3u) = 0 Multiply (2 + -1u) * (-4 + 3u) (2(-4 + 3u) + -1u * (-4 + 3u)) = 0 ((-4 * 2 + 3u * 2) + -1u * (-4 + 3u)) = 0 ((-8 + 6u) + -1u * (-4 + 3u)) = 0 (-8 + 6u + (-4 * -1u + 3u * -1u)) = 0 (-8 + 6u + (4u + -3u2)) = 0 Combine like terms: 6u + 4u = 10u (-8 + 10u + -3u2) = 0 Solving -8 + 10u + -3u2 = 0 Solving for variable 'u'. Factor a trinomial. (-2 + u)(4 + -3u) = 0Subproblem 1
Set the factor '(-2 + u)' equal to zero and attempt to solve: Simplifying -2 + u = 0 Solving -2 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + u = 0 + 2 Combine like terms: -2 + 2 = 0 0 + u = 0 + 2 u = 0 + 2 Combine like terms: 0 + 2 = 2 u = 2 Simplifying u = 2Subproblem 2
Set the factor '(4 + -3u)' equal to zero and attempt to solve: Simplifying 4 + -3u = 0 Solving 4 + -3u = 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 + -3u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3u = 0 + -4 -3u = 0 + -4 Combine like terms: 0 + -4 = -4 -3u = -4 Divide each side by '-3'. u = 1.333333333 Simplifying u = 1.333333333Solution
u = {2, 1.333333333}
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