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Simplifying 2u2 + 7u + -14 = u2 + 4u + 4 Reorder the terms: -14 + 7u + 2u2 = u2 + 4u + 4 Reorder the terms: -14 + 7u + 2u2 = 4 + 4u + u2 Solving -14 + 7u + 2u2 = 4 + 4u + u2 Solving for variable 'u'. Reorder the terms: -14 + -4 + 7u + -4u + 2u2 + -1u2 = 4 + 4u + u2 + -4 + -4u + -1u2 Combine like terms: -14 + -4 = -18 -18 + 7u + -4u + 2u2 + -1u2 = 4 + 4u + u2 + -4 + -4u + -1u2 Combine like terms: 7u + -4u = 3u -18 + 3u + 2u2 + -1u2 = 4 + 4u + u2 + -4 + -4u + -1u2 Combine like terms: 2u2 + -1u2 = 1u2 -18 + 3u + 1u2 = 4 + 4u + u2 + -4 + -4u + -1u2 Reorder the terms: -18 + 3u + 1u2 = 4 + -4 + 4u + -4u + u2 + -1u2 Combine like terms: 4 + -4 = 0 -18 + 3u + 1u2 = 0 + 4u + -4u + u2 + -1u2 -18 + 3u + 1u2 = 4u + -4u + u2 + -1u2 Combine like terms: 4u + -4u = 0 -18 + 3u + 1u2 = 0 + u2 + -1u2 -18 + 3u + 1u2 = u2 + -1u2 Combine like terms: u2 + -1u2 = 0 -18 + 3u + 1u2 = 0 Factor a trinomial. (-6 + -1u)(3 + -1u) = 0Subproblem 1
Set the factor '(-6 + -1u)' equal to zero and attempt to solve: Simplifying -6 + -1u = 0 Solving -6 + -1u = 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 + -1u = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1u = 0 + 6 -1u = 0 + 6 Combine like terms: 0 + 6 = 6 -1u = 6 Divide each side by '-1'. u = -6 Simplifying u = -6Subproblem 2
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 = 3Solution
u = {-6, 3}
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