31=2(2+2w)2+w

Solution for 31=2(2+2w)2+w equation:

31=2(2+2w)2+w

We move all terms to the left:

31-(2(2+2w)2+w)=0

We add all the numbers together, and all the variables

-(2(2w+2)2+w)+31=0


We calculate terms in parentheses: -(2(2w+2)2+w), so:

2(2w+2)2+w

We add all the numbers together, and all the variables

w+2(2w+2)2

We multiply parentheses

w+8w+8

We add all the numbers together, and all the variables

9w+8

Back to the equation:

-(9w+8)


We get rid of parentheses

-9w-8+31=0

We add all the numbers together, and all the variables

-9w+23=0

We move all terms containing w to the left, all other terms to the right

-9w=-23

w=-23/-9

w=2+5/9