U^2+80U-704=0

Solution for U^2+80U-704=0 equation:

Simplifying
U2 + 80U + -704 = 0

Reorder the terms:
-704 + 80U + U2 = 0

Solving
-704 + 80U + U2 = 0

Solving for variable 'U'.

Factor a trinomial.
(-88 + -1U)(8 + -1U) = 0

Subproblem 1
Set the factor '(-88 + -1U)' equal to zero and attempt to solve:

Simplifying
-88 + -1U = 0

Solving
-88 + -1U = 0

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

Add '88' to each side of the equation.
-88 + 88 + -1U = 0 + 88

Combine like terms: -88 + 88 = 0
0 + -1U = 0 + 88
-1U = 0 + 88

Combine like terms: 0 + 88 = 88
-1U = 88

Divide each side by '-1'.
U = -88

Simplifying
U = -88
Subproblem 2
Set the factor '(8 + -1U)' equal to zero and attempt to solve:

Simplifying
8 + -1U = 0

Solving
8 + -1U = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1U = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1U = 0 + -8
-1U = 0 + -8

Combine like terms: 0 + -8 = -8
-1U = -8

Divide each side by '-1'.
U = 8

Simplifying
U = 8
Solution
U = {-88, 8}