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Simplifying (-3u2 + u + -6) + (7u2 + 5u + 2) = 0 Reorder the terms: (-6 + u + -3u2) + (7u2 + 5u + 2) = 0 Remove parenthesis around (-6 + u + -3u2) -6 + u + -3u2 + (7u2 + 5u + 2) = 0 Reorder the terms: -6 + u + -3u2 + (2 + 5u + 7u2) = 0 Remove parenthesis around (2 + 5u + 7u2) -6 + u + -3u2 + 2 + 5u + 7u2 = 0 Reorder the terms: -6 + 2 + u + 5u + -3u2 + 7u2 = 0 Combine like terms: -6 + 2 = -4 -4 + u + 5u + -3u2 + 7u2 = 0 Combine like terms: u + 5u = 6u -4 + 6u + -3u2 + 7u2 = 0 Combine like terms: -3u2 + 7u2 = 4u2 -4 + 6u + 4u2 = 0 Solving -4 + 6u + 4u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 3u + 2u2) = 0 Factor a trinomial. 2((-2 + -1u)(1 + -2u)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -1u)' equal to zero and attempt to solve: Simplifying -2 + -1u = 0 Solving -2 + -1u = 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 + -1u = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1u = 0 + 2 -1u = 0 + 2 Combine like terms: 0 + 2 = 2 -1u = 2 Divide each side by '-1'. u = -2 Simplifying u = -2Subproblem 2
Set the factor '(1 + -2u)' equal to zero and attempt to solve: Simplifying 1 + -2u = 0 Solving 1 + -2u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2u = 0 + -1 -2u = 0 + -1 Combine like terms: 0 + -1 = -1 -2u = -1 Divide each side by '-2'. u = 0.5 Simplifying u = 0.5Solution
u = {-2, 0.5}
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