-6v^2-7v=2

Solution for -6v^2-7v=2 equation:

Simplifying
-6v2 + -7v = 2

Reorder the terms:
-7v + -6v2 = 2

Solving
-7v + -6v2 = 2

Solving for variable 'v'.

Reorder the terms:
-2 + -7v + -6v2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -7v + -6v2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2 + 7v + 6v2) = 0

Factor a trinomial.
-1((2 + 3v)(1 + 2v)) = 0

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

Simplifying
2 + 3v = 0

Solving
2 + 3v = 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 + 3v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3v = 0 + -2
3v = 0 + -2

Combine like terms: 0 + -2 = -2
3v = -2

Divide each side by '3'.
v = -0.6666666667

Simplifying
v = -0.6666666667
Subproblem 2
Set the factor '(1 + 2v)' equal to zero and attempt to solve:

Simplifying
1 + 2v = 0

Solving
1 + 2v = 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 + 2v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2v = 0 + -1
2v = 0 + -1

Combine like terms: 0 + -1 = -1
2v = -1

Divide each side by '2'.
v = -0.5

Simplifying
v = -0.5
Solution
v = {-0.6666666667, -0.5}