4v^2-47v-12=0

Solution for 4v^2-47v-12=0 equation:

Simplifying
4v2 + -47v + -12 = 0

Reorder the terms:
-12 + -47v + 4v2 = 0

Solving
-12 + -47v + 4v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-1 + -4v)(12 + -1v) = 0

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 '(12 + -1v)' equal to zero and attempt to solve:

Simplifying
12 + -1v = 0

Solving
12 + -1v = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1v = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1v = 0 + -12
-1v = 0 + -12

Combine like terms: 0 + -12 = -12
-1v = -12

Divide each side by '-1'.
v = 12

Simplifying
v = 12
Solution
v = {-0.25, 12}