6-11m=8m^2+19m+13

What is m?

I'm pretty smart so here step by step:

Simplifying

19m + - 13 = 11m + 35

Reorder the terms:

-13 + 19m = 11m + 35

Reorder the terms:

-13 + 19m = 35 + 11m

Solving

-13 + 19m = 35 + 11m

Solving for variable 'm'.

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

Add '-11m' to each side of the equation.

-13 + 19m + - 11m = 35 + 11m + - 11m

Combine like terms: 19m + - 11m = 8m

-13 + 8m = 35 + 11m + - 11m

Combine like terms: 11m + - 11m = 0

-13 + 8m = 35 + 0

-13 + 8m = 35

Add '13' to each side of the equation.

-13 + 13 + 8m = 35 + 13

Combine like terms: - 13 + 13 = 0

0 + 8m = 35 + 13

8m = 35 + 13

Combine like terms: 35 + 13 = 48

8m = 48

Divide each side by '8'.

m = 6

Simplifying

m = 6

m=-1/4