2(w^2+3)=w(2w+2)

Solution for 2(w^2+3)=w(2w+2) equation:

Simplifying
2(w2 + 3) = w(2w + 2)

Reorder the terms:
2(3 + w2) = w(2w + 2)
(3 * 2 + w2 * 2) = w(2w + 2)
(6 + 2w2) = w(2w + 2)

Reorder the terms:
6 + 2w2 = w(2 + 2w)
6 + 2w2 = (2 * w + 2w * w)
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