5v^2-26v=24

Solution for 5v^2-26v=24 equation:

Simplifying
5v2 + -26v = 24

Reorder the terms:
-26v + 5v2 = 24

Solving
-26v + 5v2 = 24

Solving for variable 'v'.

Reorder the terms:
-24 + -26v + 5v2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + -26v + 5v2 = 0

Factor a trinomial.
(-4 + -5v)(6 + -1v) = 0

Subproblem 1
Set the factor '(-4 + -5v)' equal to zero and attempt to solve:

Simplifying
-4 + -5v = 0

Solving
-4 + -5v = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5v = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5v = 0 + 4
-5v = 0 + 4

Combine like terms: 0 + 4 = 4
-5v = 4

Divide each side by '-5'.
v = -0.8

Simplifying
v = -0.8
Subproblem 2
Set the factor '(6 + -1v)' equal to zero and attempt to solve:

Simplifying
6 + -1v = 0

Solving
6 + -1v = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1v = 0 + -6
-1v = 0 + -6

Combine like terms: 0 + -6 = -6
-1v = -6

Divide each side by '-1'.
v = 6

Simplifying
v = 6
Solution
v = {-0.8, 6}