-7v+3v(1+4v)=

Solution for -7v+3v(1+4v)= equation:

Simplifying
-7v + 3v(1 + 4v) = 0
-7v + (1 * 3v + 4v * 3v) = 0
-7v + (3v + 12v2) = 0

Combine like terms: -7v + 3v = -4v
-4v + 12v2 = 0

Solving
-4v + 12v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4v'.
4v(-1 + 3v) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'v' equal to zero and attempt to solve:

Simplifying
v = 0

Solving
v = 0

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

Simplifying
v = 0
Subproblem 2
Set the factor '(-1 + 3v)' equal to zero and attempt to solve:

Simplifying
-1 + 3v = 0

Solving
-1 + 3v = 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 + 3v = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3v = 0 + 1
3v = 0 + 1

Combine like terms: 0 + 1 = 1
3v = 1

Divide each side by '3'.
v = 0.3333333333

Simplifying
v = 0.3333333333
Solution
v = {0, 0.3333333333}