36v^2-57v+12=

Solution for 36v^2-57v+12= equation:

Simplifying
36v2 + -57v + 12 = 0

Reorder the terms:
12 + -57v + 36v2 = 0

Solving
12 + -57v + 36v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3'.
3(4 + -19v + 12v2) = 0

Factor a trinomial.
3((1 + -4v)(4 + -3v)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(1 + -4v)' equal to zero and attempt to solve:

Simplifying
1 + -4v = 0

Solving
1 + -4v = 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 + -4v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4v = 0 + -1
-4v = 0 + -1

Combine like terms: 0 + -1 = -1
-4v = -1

Divide each side by '-4'.
v = 0.25

Simplifying
v = 0.25
Subproblem 2
Set the factor '(4 + -3v)' equal to zero and attempt to solve:

Simplifying
4 + -3v = 0

Solving
4 + -3v = 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 + -3v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3v = 0 + -4
-3v = 0 + -4

Combine like terms: 0 + -4 = -4
-3v = -4

Divide each side by '-3'.
v = 1.333333333

Simplifying
v = 1.333333333
Solution
v = {0.25, 1.333333333}