5m^2+12=32m

Solution for 5m^2+12=32m equation:

Simplifying
5m2 + 12 = 32m

Reorder the terms:
12 + 5m2 = 32m

Solving
12 + 5m2 = 32m

Solving for variable 'm'.

Reorder the terms:
12 + -32m + 5m2 = 32m + -32m

Combine like terms: 32m + -32m = 0
12 + -32m + 5m2 = 0

Factor a trinomial.
(2 + -5m)(6 + -1m) = 0

Subproblem 1
Set the factor '(2 + -5m)' equal to zero and attempt to solve:

Simplifying
2 + -5m = 0

Solving
2 + -5m = 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 + -5m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5m = 0 + -2
-5m = 0 + -2

Combine like terms: 0 + -2 = -2
-5m = -2

Divide each side by '-5'.
m = 0.4

Simplifying
m = 0.4
Subproblem 2
Set the factor '(6 + -1m)' equal to zero and attempt to solve:

Simplifying
6 + -1m = 0

Solving
6 + -1m = 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 + -1m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1m = 0 + -6
-1m = 0 + -6

Combine like terms: 0 + -6 = -6
-1m = -6

Divide each side by '-1'.
m = 6

Simplifying
m = 6
Solution
m = {0.4, 6}