3v^2+1=4v

Solution for 3v^2+1=4v equation:

Simplifying
3v2 + 1 = 4v

Reorder the terms:
1 + 3v2 = 4v

Solving
1 + 3v2 = 4v

Solving for variable 'v'.

Reorder the terms:
1 + -4v + 3v2 = 4v + -4v

Combine like terms: 4v + -4v = 0
1 + -4v + 3v2 = 0

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

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

Simplifying
1 + -3v = 0

Solving
1 + -3v = 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 + -3v = 0 + -1

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

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

Divide each side by '-3'.
v = 0.3333333333

Simplifying
v = 0.3333333333
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 = {0.3333333333, 1}