49m^2+12=56m

Solution for 49m^2+12=56m equation:

Simplifying
49m2 + 12 = 56m

Reorder the terms:
12 + 49m2 = 56m

Solving
12 + 49m2 = 56m

Solving for variable 'm'.

Reorder the terms:
12 + -56m + 49m2 = 56m + -56m

Combine like terms: 56m + -56m = 0
12 + -56m + 49m2 = 0

Factor a trinomial.
(2 + -7m)(6 + -7m) = 0

Subproblem 1
Set the factor '(2 + -7m)' equal to zero and attempt to solve:

Simplifying
2 + -7m = 0

Solving
2 + -7m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7m = 0 + -2
-7m = 0 + -2

Combine like terms: 0 + -2 = -2
-7m = -2

Divide each side by '-7'.
m = 0.2857142857

Simplifying
m = 0.2857142857
Subproblem 2
Set the factor '(6 + -7m)' equal to zero and attempt to solve:

Simplifying
6 + -7m = 0

Solving
6 + -7m = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7m = 0 + -6
-7m = 0 + -6

Combine like terms: 0 + -6 = -6
-7m = -6

Divide each side by '-7'.
m = 0.8571428571

Simplifying
m = 0.8571428571
Solution
m = {0.2857142857, 0.8571428571}