U^2+80U-164=0

Solution for U^2+80U-164=0 equation:

Simplifying
U2 + 80U + -164 = 0

Reorder the terms:
-164 + 80U + U2 = 0

Solving
-164 + 80U + U2 = 0

Solving for variable 'U'.

Factor a trinomial.
(-82 + -1U)(2 + -1U) = 0

Subproblem 1
Set the factor '(-82 + -1U)' equal to zero and attempt to solve:

Simplifying
-82 + -1U = 0

Solving
-82 + -1U = 0

Move all terms containing U to the left, all other terms to the right.

Add '82' to each side of the equation.
-82 + 82 + -1U = 0 + 82

Combine like terms: -82 + 82 = 0
0 + -1U = 0 + 82
-1U = 0 + 82

Combine like terms: 0 + 82 = 82
-1U = 82

Divide each side by '-1'.
U = -82

Simplifying
U = -82
Subproblem 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 = 2
Solution
U = {-82, 2}