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Simplifying 3u2 = -4u + 15 Reorder the terms: 3u2 = 15 + -4u Solving 3u2 = 15 + -4u Solving for variable 'u'. Reorder the terms: -15 + 4u + 3u2 = 15 + -4u + -15 + 4u Reorder the terms: -15 + 4u + 3u2 = 15 + -15 + -4u + 4u Combine like terms: 15 + -15 = 0 -15 + 4u + 3u2 = 0 + -4u + 4u -15 + 4u + 3u2 = -4u + 4u Combine like terms: -4u + 4u = 0 -15 + 4u + 3u2 = 0 Factor a trinomial. (-3 + -1u)(5 + -3u) = 0Subproblem 1
Set the factor '(-3 + -1u)' equal to zero and attempt to solve: Simplifying -3 + -1u = 0 Solving -3 + -1u = 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 + -1u = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1u = 0 + 3 -1u = 0 + 3 Combine like terms: 0 + 3 = 3 -1u = 3 Divide each side by '-1'. u = -3 Simplifying u = -3Subproblem 2
Set the factor '(5 + -3u)' equal to zero and attempt to solve: Simplifying 5 + -3u = 0 Solving 5 + -3u = 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 + -3u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3u = 0 + -5 -3u = 0 + -5 Combine like terms: 0 + -5 = -5 -3u = -5 Divide each side by '-3'. u = 1.666666667 Simplifying u = 1.666666667Solution
u = {-3, 1.666666667}
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