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Simplifying u2 + 7u + -44 = 0 Reorder the terms: -44 + 7u + u2 = 0 Solving -44 + 7u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (-11 + -1u)(4 + -1u) = 0Subproblem 1
Set the factor '(-11 + -1u)' equal to zero and attempt to solve: Simplifying -11 + -1u = 0 Solving -11 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1u = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1u = 0 + 11 -1u = 0 + 11 Combine like terms: 0 + 11 = 11 -1u = 11 Divide each side by '-1'. u = -11 Simplifying u = -11Subproblem 2
Set the factor '(4 + -1u)' equal to zero and attempt to solve: Simplifying 4 + -1u = 0 Solving 4 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1u = 0 + -4 -1u = 0 + -4 Combine like terms: 0 + -4 = -4 -1u = -4 Divide each side by '-1'. u = 4 Simplifying u = 4Solution
u = {-11, 4}
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