U^2+40U-129=0

Solution for U^2+40U-129=0 equation:

Simplifying
U2 + 40U + -129 = 0

Reorder the terms:
-129 + 40U + U2 = 0

Solving
-129 + 40U + U2 = 0

Solving for variable 'U'.

Factor a trinomial.
(-43 + -1U)(3 + -1U) = 0

Subproblem 1
Set the factor '(-43 + -1U)' equal to zero and attempt to solve:

Simplifying
-43 + -1U = 0

Solving
-43 + -1U = 0

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

Add '43' to each side of the equation.
-43 + 43 + -1U = 0 + 43

Combine like terms: -43 + 43 = 0
0 + -1U = 0 + 43
-1U = 0 + 43

Combine like terms: 0 + 43 = 43
-1U = 43

Divide each side by '-1'.
U = -43

Simplifying
U = -43
Subproblem 2
Set the factor '(3 + -1U)' equal to zero and attempt to solve:

Simplifying
3 + -1U = 0

Solving
3 + -1U = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1U = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1U = 0 + -3
-1U = 0 + -3

Combine like terms: 0 + -3 = -3
-1U = -3

Divide each side by '-1'.
U = 3

Simplifying
U = 3
Solution
U = {-43, 3}