3m^2+1=4m

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

Simplifying
3m2 + 1 = 4m

Reorder the terms:
1 + 3m2 = 4m

Solving
1 + 3m2 = 4m

Solving for variable 'm'.

Reorder the terms:
1 + -4m + 3m2 = 4m + -4m

Combine like terms: 4m + -4m = 0
1 + -4m + 3m2 = 0

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

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

Simplifying
1 + -3m = 0

Solving
1 + -3m = 0

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

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

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

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

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

Simplifying
m = 0.3333333333
Subproblem 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve:

Simplifying
1 + -1m = 0

Solving
1 + -1m = 0

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

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

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

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

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

Simplifying
m = 1
Solution
m = {0.3333333333, 1}