5m^2=-3+16m

Solution for 5m^2=-3+16m equation:

Simplifying
5m2 = -3 + 16m

Solving
5m2 = -3 + 16m

Solving for variable 'm'.

Reorder the terms:
3 + -16m + 5m2 = -3 + 16m + 3 + -16m

Reorder the terms:
3 + -16m + 5m2 = -3 + 3 + 16m + -16m

Combine like terms: -3 + 3 = 0
3 + -16m + 5m2 = 0 + 16m + -16m
3 + -16m + 5m2 = 16m + -16m

Combine like terms: 16m + -16m = 0
3 + -16m + 5m2 = 0

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

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

Simplifying
1 + -5m = 0

Solving
1 + -5m = 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 + -5m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5m = 0 + -1
-5m = 0 + -1

Combine like terms: 0 + -1 = -1
-5m = -1

Divide each side by '-5'.
m = 0.2

Simplifying
m = 0.2
Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve:

Simplifying
3 + -1m = 0

Solving
3 + -1m = 0

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

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

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

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

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {0.2, 3}