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Simplifying (4 + -1u)(3u + -2) = 0 Reorder the terms: (4 + -1u)(-2 + 3u) = 0 Multiply (4 + -1u) * (-2 + 3u) (4(-2 + 3u) + -1u * (-2 + 3u)) = 0 ((-2 * 4 + 3u * 4) + -1u * (-2 + 3u)) = 0 ((-8 + 12u) + -1u * (-2 + 3u)) = 0 (-8 + 12u + (-2 * -1u + 3u * -1u)) = 0 (-8 + 12u + (2u + -3u2)) = 0 Combine like terms: 12u + 2u = 14u (-8 + 14u + -3u2) = 0 Solving -8 + 14u + -3u2 = 0 Solving for variable 'u'. Factor a trinomial. (-4 + u)(2 + -3u) = 0Subproblem 1
Set the factor '(-4 + u)' equal to zero and attempt to solve: Simplifying -4 + u = 0 Solving -4 + u = 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 + u = 0 + 4 Combine like terms: -4 + 4 = 0 0 + u = 0 + 4 u = 0 + 4 Combine like terms: 0 + 4 = 4 u = 4 Simplifying u = 4Subproblem 2
Set the factor '(2 + -3u)' equal to zero and attempt to solve: Simplifying 2 + -3u = 0 Solving 2 + -3u = 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 + -3u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3u = 0 + -2 -3u = 0 + -2 Combine like terms: 0 + -2 = -2 -3u = -2 Divide each side by '-3'. u = 0.6666666667 Simplifying u = 0.6666666667Solution
u = {4, 0.6666666667}
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