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Simplifying u2 + -14u + 49 = 2u2 + -19u + 55 Reorder the terms: 49 + -14u + u2 = 2u2 + -19u + 55 Reorder the terms: 49 + -14u + u2 = 55 + -19u + 2u2 Solving 49 + -14u + u2 = 55 + -19u + 2u2 Solving for variable 'u'. Reorder the terms: 49 + -55 + -14u + 19u + u2 + -2u2 = 55 + -19u + 2u2 + -55 + 19u + -2u2 Combine like terms: 49 + -55 = -6 -6 + -14u + 19u + u2 + -2u2 = 55 + -19u + 2u2 + -55 + 19u + -2u2 Combine like terms: -14u + 19u = 5u -6 + 5u + u2 + -2u2 = 55 + -19u + 2u2 + -55 + 19u + -2u2 Combine like terms: u2 + -2u2 = -1u2 -6 + 5u + -1u2 = 55 + -19u + 2u2 + -55 + 19u + -2u2 Reorder the terms: -6 + 5u + -1u2 = 55 + -55 + -19u + 19u + 2u2 + -2u2 Combine like terms: 55 + -55 = 0 -6 + 5u + -1u2 = 0 + -19u + 19u + 2u2 + -2u2 -6 + 5u + -1u2 = -19u + 19u + 2u2 + -2u2 Combine like terms: -19u + 19u = 0 -6 + 5u + -1u2 = 0 + 2u2 + -2u2 -6 + 5u + -1u2 = 2u2 + -2u2 Combine like terms: 2u2 + -2u2 = 0 -6 + 5u + -1u2 = 0 Factor a trinomial. (-3 + u)(2 + -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 '(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 = 2Solution
u = {3, 2}
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