2w^2+6=94

Solution for 2w^2+6=94 equation:

Simplifying
2w2 + 6 = 94

Reorder the terms:
6 + 2w2 = 94

Solving
6 + 2w2 = 94

Solving for variable 'w'.

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

Add '-6' to each side of the equation.
6 + -6 + 2w2 = 94 + -6

Combine like terms: 6 + -6 = 0
0 + 2w2 = 94 + -6
2w2 = 94 + -6

Combine like terms: 94 + -6 = 88
2w2 = 88

Divide each side by '2'.
w2 = 44

Simplifying
w2 = 44

Take the square root of each side:
w = {-6.633249581, 6.633249581}