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Simplifying (-3u2 + -7u + -1) + (4u2 + -7u + 1) + -1(2u2 + -8u + 5) = 0 Reorder the terms: (-1 + -7u + -3u2) + (4u2 + -7u + 1) + -1(2u2 + -8u + 5) = 0 Remove parenthesis around (-1 + -7u + -3u2) -1 + -7u + -3u2 + (4u2 + -7u + 1) + -1(2u2 + -8u + 5) = 0 Reorder the terms: -1 + -7u + -3u2 + (1 + -7u + 4u2) + -1(2u2 + -8u + 5) = 0 Remove parenthesis around (1 + -7u + 4u2) -1 + -7u + -3u2 + 1 + -7u + 4u2 + -1(2u2 + -8u + 5) = 0 Reorder the terms: -1 + -7u + -3u2 + 1 + -7u + 4u2 + -1(5 + -8u + 2u2) = 0 -1 + -7u + -3u2 + 1 + -7u + 4u2 + (5 * -1 + -8u * -1 + 2u2 * -1) = 0 -1 + -7u + -3u2 + 1 + -7u + 4u2 + (-5 + 8u + -2u2) = 0 Reorder the terms: -1 + 1 + -5 + -7u + -7u + 8u + -3u2 + 4u2 + -2u2 = 0 Combine like terms: -1 + 1 = 0 0 + -5 + -7u + -7u + 8u + -3u2 + 4u2 + -2u2 = 0 -5 + -7u + -7u + 8u + -3u2 + 4u2 + -2u2 = 0 Combine like terms: -7u + -7u = -14u -5 + -14u + 8u + -3u2 + 4u2 + -2u2 = 0 Combine like terms: -14u + 8u = -6u -5 + -6u + -3u2 + 4u2 + -2u2 = 0 Combine like terms: -3u2 + 4u2 = 1u2 -5 + -6u + 1u2 + -2u2 = 0 Combine like terms: 1u2 + -2u2 = -1u2 -5 + -6u + -1u2 = 0 Solving -5 + -6u + -1u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '-1'. -1(5 + 6u + u2) = 0 Factor a trinomial. -1((5 + u)(1 + u)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + u)' equal to zero and attempt to solve: Simplifying 5 + u = 0 Solving 5 + u = 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 + u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + u = 0 + -5 u = 0 + -5 Combine like terms: 0 + -5 = -5 u = -5 Simplifying u = -5Subproblem 2
Set the factor '(1 + u)' equal to zero and attempt to solve: Simplifying 1 + u = 0 Solving 1 + u = 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 + u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + u = 0 + -1 u = 0 + -1 Combine like terms: 0 + -1 = -1 u = -1 Simplifying u = -1Solution
u = {-5, -1}
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