2w^2-72=0

Solution for 2w^2-72=0 equation:

Simplifying
2w2 + -72 = 0

Reorder the terms:
-72 + 2w2 = 0

Solving
-72 + 2w2 = 0

Solving for variable 'w'.

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

Add '72' to each side of the equation.
-72 + 72 + 2w2 = 0 + 72

Combine like terms: -72 + 72 = 0
0 + 2w2 = 0 + 72
2w2 = 0 + 72

Combine like terms: 0 + 72 = 72
2w2 = 72

Divide each side by '2'.
w2 = 36

Simplifying
w2 = 36

Take the square root of each side:
w = {-6, 6}