U^2+60U-61=0

Solution for U^2+60U-61=0 equation:

Simplifying
U2 + 60U + -61 = 0

Reorder the terms:
-61 + 60U + U2 = 0

Solving
-61 + 60U + U2 = 0

Solving for variable 'U'.

Factor a trinomial.
(-61 + -1U)(1 + -1U) = 0

Subproblem 1
Set the factor '(-61 + -1U)' equal to zero and attempt to solve:

Simplifying
-61 + -1U = 0

Solving
-61 + -1U = 0

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

Add '61' to each side of the equation.
-61 + 61 + -1U = 0 + 61

Combine like terms: -61 + 61 = 0
0 + -1U = 0 + 61
-1U = 0 + 61

Combine like terms: 0 + 61 = 61
-1U = 61

Divide each side by '-1'.
U = -61

Simplifying
U = -61
Subproblem 2
Set the factor '(1 + -1U)' equal to zero and attempt to solve:

Simplifying
1 + -1U = 0

Solving
1 + -1U = 0

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

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

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

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

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

Simplifying
U = 1
Solution
U = {-61, 1}