-9v^2-3v+13=7

Solution for -9v^2-3v+13=7 equation:

Simplifying
-9v2 + -3v + 13 = 7

Reorder the terms:
13 + -3v + -9v2 = 7

Solving
13 + -3v + -9v2 = 7

Solving for variable 'v'.

Reorder the terms:
13 + -7 + -3v + -9v2 = 7 + -7

Combine like terms: 13 + -7 = 6
6 + -3v + -9v2 = 7 + -7

Combine like terms: 7 + -7 = 0
6 + -3v + -9v2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + -1v + -3v2) = 0

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

Ignore the factor 3.
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 + 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 = {0.6666666667, -1}