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Simplifying (3u2 + 4u + -7) + -1(9u2 + -9u + 8) + (8u2 + -4u + -3) = 0 Reorder the terms: (-7 + 4u + 3u2) + -1(9u2 + -9u + 8) + (8u2 + -4u + -3) = 0 Remove parenthesis around (-7 + 4u + 3u2) -7 + 4u + 3u2 + -1(9u2 + -9u + 8) + (8u2 + -4u + -3) = 0 Reorder the terms: -7 + 4u + 3u2 + -1(8 + -9u + 9u2) + (8u2 + -4u + -3) = 0 -7 + 4u + 3u2 + (8 * -1 + -9u * -1 + 9u2 * -1) + (8u2 + -4u + -3) = 0 -7 + 4u + 3u2 + (-8 + 9u + -9u2) + (8u2 + -4u + -3) = 0 Reorder the terms: -7 + 4u + 3u2 + -8 + 9u + -9u2 + (-3 + -4u + 8u2) = 0 Remove parenthesis around (-3 + -4u + 8u2) -7 + 4u + 3u2 + -8 + 9u + -9u2 + -3 + -4u + 8u2 = 0 Reorder the terms: -7 + -8 + -3 + 4u + 9u + -4u + 3u2 + -9u2 + 8u2 = 0 Combine like terms: -7 + -8 = -15 -15 + -3 + 4u + 9u + -4u + 3u2 + -9u2 + 8u2 = 0 Combine like terms: -15 + -3 = -18 -18 + 4u + 9u + -4u + 3u2 + -9u2 + 8u2 = 0 Combine like terms: 4u + 9u = 13u -18 + 13u + -4u + 3u2 + -9u2 + 8u2 = 0 Combine like terms: 13u + -4u = 9u -18 + 9u + 3u2 + -9u2 + 8u2 = 0 Combine like terms: 3u2 + -9u2 = -6u2 -18 + 9u + -6u2 + 8u2 = 0 Combine like terms: -6u2 + 8u2 = 2u2 -18 + 9u + 2u2 = 0 Solving -18 + 9u + 2u2 = 0 Solving for variable 'u'. Factor a trinomial. (-6 + -1u)(3 + -2u) = 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 + -2u)' equal to zero and attempt to solve: Simplifying 3 + -2u = 0 Solving 3 + -2u = 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 + -2u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2u = 0 + -3 -2u = 0 + -3 Combine like terms: 0 + -3 = -3 -2u = -3 Divide each side by '-2'. u = 1.5 Simplifying u = 1.5Solution
u = {-6, 1.5}
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