2w^2+3-77=0

Solution for 2w^2+3-77=0 equation:

Simplifying
2w2 + 3 + -77 = 0

Reorder the terms:
3 + -77 + 2w2 = 0

Combine like terms: 3 + -77 = -74
-74 + 2w2 = 0

Solving
-74 + 2w2 = 0

Solving for variable 'w'.

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

Add '74' to each side of the equation.
-74 + 74 + 2w2 = 0 + 74

Combine like terms: -74 + 74 = 0
0 + 2w2 = 0 + 74
2w2 = 0 + 74

Combine like terms: 0 + 74 = 74
2w2 = 74

Divide each side by '2'.
w2 = 37

Simplifying
w2 = 37

Take the square root of each side:
w = {-6.08276253, 6.08276253}