3v^2=5-2v

Solution for 3v^2=5-2v equation:

Simplifying
3v2 = 5 + -2v

Solving
3v2 = 5 + -2v

Solving for variable 'v'.

Reorder the terms:
-5 + 2v + 3v2 = 5 + -2v + -5 + 2v

Reorder the terms:
-5 + 2v + 3v2 = 5 + -5 + -2v + 2v

Combine like terms: 5 + -5 = 0
-5 + 2v + 3v2 = 0 + -2v + 2v
-5 + 2v + 3v2 = -2v + 2v

Combine like terms: -2v + 2v = 0
-5 + 2v + 3v2 = 0

Factor a trinomial.
(-5 + -3v)(1 + -1v) = 0

Subproblem 1
Set the factor '(-5 + -3v)' equal to zero and attempt to solve:

Simplifying
-5 + -3v = 0

Solving
-5 + -3v = 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 + -3v = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3v = 0 + 5
-3v = 0 + 5

Combine like terms: 0 + 5 = 5
-3v = 5

Divide each side by '-3'.
v = -1.666666667

Simplifying
v = -1.666666667
Subproblem 2
Set the factor '(1 + -1v)' equal to zero and attempt to solve:

Simplifying
1 + -1v = 0

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

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

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

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

Simplifying
v = 1
Solution
v = {-1.666666667, 1}