4m^2+6m+1=6m+82

Solution for 4m^2+6m+1=6m+82 equation:

Simplifying
4m2 + 6m + 1 = 6m + 82

Reorder the terms:
1 + 6m + 4m2 = 6m + 82

Reorder the terms:
1 + 6m + 4m2 = 82 + 6m

Add '-6m' to each side of the equation.
1 + 6m + -6m + 4m2 = 82 + 6m + -6m

Combine like terms: 6m + -6m = 0
1 + 0 + 4m2 = 82 + 6m + -6m
1 + 4m2 = 82 + 6m + -6m

Combine like terms: 6m + -6m = 0
1 + 4m2 = 82 + 0
1 + 4m2 = 82

Solving
1 + 4m2 = 82

Solving for variable 'm'.

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

Add '-1' to each side of the equation.
1 + -1 + 4m2 = 82 + -1

Combine like terms: 1 + -1 = 0
0 + 4m2 = 82 + -1
4m2 = 82 + -1

Combine like terms: 82 + -1 = 81
4m2 = 81

Divide each side by '4'.
m2 = 20.25

Simplifying
m2 = 20.25

Take the square root of each side:
m = {-4.5, 4.5}