36v^2-208v=48

Solution for 36v^2-208v=48 equation:

Simplifying
36v2 + -208v = 48

Reorder the terms:
-208v + 36v2 = 48

Solving
-208v + 36v2 = 48

Solving for variable 'v'.

Reorder the terms:
-48 + -208v + 36v2 = 48 + -48

Combine like terms: 48 + -48 = 0
-48 + -208v + 36v2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-12 + -52v + 9v2) = 0

Factor a trinomial.
4((-2 + -9v)(6 + -1v)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-2 + -9v)' equal to zero and attempt to solve:

Simplifying
-2 + -9v = 0

Solving
-2 + -9v = 0

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

Add '2' to each side of the equation.
-2 + 2 + -9v = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -9v = 0 + 2
-9v = 0 + 2

Combine like terms: 0 + 2 = 2
-9v = 2

Divide each side by '-9'.
v = -0.2222222222

Simplifying
v = -0.2222222222
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 = {-0.2222222222, 6}