u^2+6u-91=0

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Solution for u^2+6u-91=0 equation:


Simplifying
u2 + 6u + -91 = 0

Reorder the terms:
-91 + 6u + u2 = 0

Solving
-91 + 6u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-13 + -1u)(7 + -1u) = 0

Subproblem 1

Set the factor '(-13 + -1u)' equal to zero and attempt to solve: Simplifying -13 + -1u = 0 Solving -13 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1u = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1u = 0 + 13 -1u = 0 + 13 Combine like terms: 0 + 13 = 13 -1u = 13 Divide each side by '-1'. u = -13 Simplifying u = -13

Subproblem 2

Set the factor '(7 + -1u)' equal to zero and attempt to solve: Simplifying 7 + -1u = 0 Solving 7 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1u = 0 + -7 -1u = 0 + -7 Combine like terms: 0 + -7 = -7 -1u = -7 Divide each side by '-1'. u = 7 Simplifying u = 7

Solution

u = {-13, 7}

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