v^2-55=-6v

Solution for v^2-55=-6v equation:

Simplifying
v2 + -55 = -6v

Reorder the terms:
-55 + v2 = -6v

Solving
-55 + v2 = -6v

Solving for variable 'v'.

Reorder the terms:
-55 + 6v + v2 = -6v + 6v

Combine like terms: -6v + 6v = 0
-55 + 6v + v2 = 0

Factor a trinomial.
(-11 + -1v)(5 + -1v) = 0

Subproblem 1
Set the factor '(-11 + -1v)' equal to zero and attempt to solve:

Simplifying
-11 + -1v = 0

Solving
-11 + -1v = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1v = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1v = 0 + 11
-1v = 0 + 11

Combine like terms: 0 + 11 = 11
-1v = 11

Divide each side by '-1'.
v = -11

Simplifying
v = -11
Subproblem 2
Set the factor '(5 + -1v)' equal to zero and attempt to solve:

Simplifying
5 + -1v = 0

Solving
5 + -1v = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1v = 0 + -5
-1v = 0 + -5

Combine like terms: 0 + -5 = -5
-1v = -5

Divide each side by '-1'.
v = 5

Simplifying
v = 5
Solution
v = {-11, 5}