2w^2+2-45=0

Solution for 2w^2+2-45=0 equation:

Simplifying
2w2 + 2 + -45 = 0

Reorder the terms:
2 + -45 + 2w2 = 0

Combine like terms: 2 + -45 = -43
-43 + 2w2 = 0

Solving
-43 + 2w2 = 0

Solving for variable 'w'.

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

Add '43' to each side of the equation.
-43 + 43 + 2w2 = 0 + 43

Combine like terms: -43 + 43 = 0
0 + 2w2 = 0 + 43
2w2 = 0 + 43

Combine like terms: 0 + 43 = 43
2w2 = 43

Divide each side by '2'.
w2 = 21.5

Simplifying
w2 = 21.5

Take the square root of each side:
w = {-4.636809248, 4.636809248}