2w^2+6=2w^2+2w

Solution for 2w^2+6=2w^2+2w equation:

Simplifying
2w2 + 6 = 2w2 + 2w

Reorder the terms:
6 + 2w2 = 2w2 + 2w

Reorder the terms:
6 + 2w2 = 2w + 2w2

Add '-2w2' to each side of the equation.
6 + 2w2 + -2w2 = 2w + 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
6 + 0 = 2w + 2w2 + -2w2
6 = 2w + 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
6 = 2w + 0
6 = 2w

Solving
6 = 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
6 + -2w = 2w + -2w

Combine like terms: 2w + -2w = 0
6 + -2w = 0

Add '-6' to each side of the equation.
6 + -6 + -2w = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -2w = 0 + -6
-2w = 0 + -6

Combine like terms: 0 + -6 = -6
-2w = -6

Divide each side by '-2'.
w = 3

Simplifying
w = 3