v^2=25v-24

Solution for v^2=25v-24 equation:

Simplifying
v2 = 25v + -24

Reorder the terms:
v2 = -24 + 25v

Solving
v2 = -24 + 25v

Solving for variable 'v'.

Reorder the terms:
24 + -25v + v2 = -24 + 25v + 24 + -25v

Reorder the terms:
24 + -25v + v2 = -24 + 24 + 25v + -25v

Combine like terms: -24 + 24 = 0
24 + -25v + v2 = 0 + 25v + -25v
24 + -25v + v2 = 25v + -25v

Combine like terms: 25v + -25v = 0
24 + -25v + v2 = 0

Factor a trinomial.
(1 + -1v)(24 + -1v) = 0

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

Simplifying
1 + -1v = 0

Solving
1 + -1v = 0

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

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

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

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

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

Simplifying
v = 1
Subproblem 2
Set the factor '(24 + -1v)' equal to zero and attempt to solve:

Simplifying
24 + -1v = 0

Solving
24 + -1v = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1v = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1v = 0 + -24
-1v = 0 + -24

Combine like terms: 0 + -24 = -24
-1v = -24

Divide each side by '-1'.
v = 24

Simplifying
v = 24
Solution
v = {1, 24}