-7v-4=3v^2

Solution for -7v-4=3v^2 equation:

Simplifying
-7v + -4 = 3v2

Reorder the terms:
-4 + -7v = 3v2

Solving
-4 + -7v = 3v2

Solving for variable 'v'.

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

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + 7v + 3v2) = 0

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

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

Simplifying
1 + v = 0

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

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

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

Simplifying
v = -1
Solution
v = {-1.333333333, -1}