2w^2-3=27

Solution for 2w^2-3=27 equation:

Simplifying
2w2 + -3 = 27

Reorder the terms:
-3 + 2w2 = 27

Solving
-3 + 2w2 = 27

Solving for variable 'w'.

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

Add '3' to each side of the equation.
-3 + 3 + 2w2 = 27 + 3

Combine like terms: -3 + 3 = 0
0 + 2w2 = 27 + 3
2w2 = 27 + 3

Combine like terms: 27 + 3 = 30
2w2 = 30

Divide each side by '2'.
w2 = 15

Simplifying
w2 = 15

Take the square root of each side:
w = {-3.872983346, 3.872983346}