9w^2-6w=2(2-3w)

Solution for 9w^2-6w=2(2-3w) equation:

Simplifying
9w2 + -6w = 2(2 + -3w)

Reorder the terms:
-6w + 9w2 = 2(2 + -3w)
-6w + 9w2 = (2 * 2 + -3w * 2)
-6w + 9w2 = (4 + -6w)

Add '6w' to each side of the equation.
-6w + 6w + 9w2 = 4 + -6w + 6w

Combine like terms: -6w + 6w = 0
0 + 9w2 = 4 + -6w + 6w
9w2 = 4 + -6w + 6w

Combine like terms: -6w + 6w = 0
9w2 = 4 + 0
9w2 = 4

Solving
9w2 = 4

Solving for variable 'w'.

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

Divide each side by '9'.
w2 = 0.4444444444

Simplifying
w2 = 0.4444444444

Take the square root of each side:
w = {-0.666666667, 0.666666667}