v^2+13v-3=-3+6v

Solution for v^2+13v-3=-3+6v equation:

Simplifying
v2 + 13v + -3 = -3 + 6v

Reorder the terms:
-3 + 13v + v2 = -3 + 6v

Add '3' to each side of the equation.
-3 + 13v + 3 + v2 = -3 + 3 + 6v

Reorder the terms:
-3 + 3 + 13v + v2 = -3 + 3 + 6v

Combine like terms: -3 + 3 = 0
0 + 13v + v2 = -3 + 3 + 6v
13v + v2 = -3 + 3 + 6v

Combine like terms: -3 + 3 = 0
13v + v2 = 0 + 6v
13v + v2 = 6v

Solving
13v + v2 = 6v

Solving for variable 'v'.

Reorder the terms:
13v + -6v + v2 = 6v + -6v

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

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

Factor out the Greatest Common Factor (GCF), 'v'.
v(7 + v) = 0

Subproblem 1
Set the factor 'v' equal to zero and attempt to solve:

Simplifying
v = 0

Solving
v = 0

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

Simplifying
v = 0
Subproblem 2
Set the factor '(7 + v)' equal to zero and attempt to solve:

Simplifying
7 + v = 0

Solving
7 + v = 0

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

Add '-7' to each side of the equation.
7 + -7 + v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + v = 0 + -7
v = 0 + -7

Combine like terms: 0 + -7 = -7
v = -7

Simplifying
v = -7
Solution
v = {0, -7}