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Simplifying u2 + 4u + 4 = 2u2 + -2u + 13 Reorder the terms: 4 + 4u + u2 = 2u2 + -2u + 13 Reorder the terms: 4 + 4u + u2 = 13 + -2u + 2u2 Solving 4 + 4u + u2 = 13 + -2u + 2u2 Solving for variable 'u'. Reorder the terms: 4 + -13 + 4u + 2u + u2 + -2u2 = 13 + -2u + 2u2 + -13 + 2u + -2u2 Combine like terms: 4 + -13 = -9 -9 + 4u + 2u + u2 + -2u2 = 13 + -2u + 2u2 + -13 + 2u + -2u2 Combine like terms: 4u + 2u = 6u -9 + 6u + u2 + -2u2 = 13 + -2u + 2u2 + -13 + 2u + -2u2 Combine like terms: u2 + -2u2 = -1u2 -9 + 6u + -1u2 = 13 + -2u + 2u2 + -13 + 2u + -2u2 Reorder the terms: -9 + 6u + -1u2 = 13 + -13 + -2u + 2u + 2u2 + -2u2 Combine like terms: 13 + -13 = 0 -9 + 6u + -1u2 = 0 + -2u + 2u + 2u2 + -2u2 -9 + 6u + -1u2 = -2u + 2u + 2u2 + -2u2 Combine like terms: -2u + 2u = 0 -9 + 6u + -1u2 = 0 + 2u2 + -2u2 -9 + 6u + -1u2 = 2u2 + -2u2 Combine like terms: 2u2 + -2u2 = 0 -9 + 6u + -1u2 = 0 Factor a trinomial. (-3 + u)(3 + -1u) = 0Subproblem 1
Set the factor '(-3 + u)' equal to zero and attempt to solve: Simplifying -3 + u = 0 Solving -3 + u = 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 + u = 0 + 3 Combine like terms: -3 + 3 = 0 0 + u = 0 + 3 u = 0 + 3 Combine like terms: 0 + 3 = 3 u = 3 Simplifying u = 3Subproblem 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 = {3, 3}
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