U^2+100U-525=0

Solution for U^2+100U-525=0 equation:

Simplifying
U2 + 100U + -525 = 0

Reorder the terms:
-525 + 100U + U2 = 0

Solving
-525 + 100U + U2 = 0

Solving for variable 'U'.

Factor a trinomial.
(-105 + -1U)(5 + -1U) = 0

Subproblem 1
Set the factor '(-105 + -1U)' equal to zero and attempt to solve:

Simplifying
-105 + -1U = 0

Solving
-105 + -1U = 0

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

Add '105' to each side of the equation.
-105 + 105 + -1U = 0 + 105

Combine like terms: -105 + 105 = 0
0 + -1U = 0 + 105
-1U = 0 + 105

Combine like terms: 0 + 105 = 105
-1U = 105

Divide each side by '-1'.
U = -105

Simplifying
U = -105
Subproblem 2
Set the factor '(5 + -1U)' equal to zero and attempt to solve:

Simplifying
5 + -1U = 0

Solving
5 + -1U = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1U = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1U = 0 + -5
-1U = 0 + -5

Combine like terms: 0 + -5 = -5
-1U = -5

Divide each side by '-1'.
U = 5

Simplifying
U = 5
Solution
U = {-105, 5}