v^2+9v=36

Solution for v^2+9v=36 equation:

Simplifying
v2 + 9v = 36

Reorder the terms:
9v + v2 = 36

Solving
9v + v2 = 36

Solving for variable 'v'.

Reorder the terms:
-36 + 9v + v2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + 9v + v2 = 0

Factor a trinomial.
(-12 + -1v)(3 + -1v) = 0

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

Simplifying
3 + -1v = 0

Solving
3 + -1v = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1v = 0 + -3

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

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

Divide each side by '-1'.
v = 3

Simplifying
v = 3
Solution
v = {-12, 3}