50=2w^2

Solution for 50=2w^2 equation:

Simplifying
50 = 2w2

Solving
50 = 2w2

Solving for variable 'w'.

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

Add '-2w2' to each side of the equation.
50 + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
50 + -2w2 = 0

Add '-50' to each side of the equation.
50 + -50 + -2w2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -2w2 = 0 + -50
-2w2 = 0 + -50

Combine like terms: 0 + -50 = -50
-2w2 = -50

Divide each side by '-2'.
w2 = 25

Simplifying
w2 = 25

Take the square root of each side:
w = {-5, 5}