u^2+24u-25=0

Solution for u^2+24u-25=0 equation:

Simplifying
u2 + 24u + -25 = 0

Reorder the terms:
-25 + 24u + u2 = 0

Solving
-25 + 24u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-25 + -1u)(1 + -1u) = 0

Subproblem 1
Set the factor '(-25 + -1u)' equal to zero and attempt to solve:

Simplifying
-25 + -1u = 0

Solving
-25 + -1u = 0

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

Add '25' to each side of the equation.
-25 + 25 + -1u = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -1u = 0 + 25
-1u = 0 + 25

Combine like terms: 0 + 25 = 25
-1u = 25

Divide each side by '-1'.
u = -25

Simplifying
u = -25
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 = {-25, 1}