2(w^2-38-39)=0

Solution for 2(w^2-38-39)=0 equation:

Simplifying
2(w2 + -38 + -39) = 0

Reorder the terms:
2(-38 + -39 + w2) = 0

Combine like terms: -38 + -39 = -77
2(-77 + w2) = 0
(-77 * 2 + w2 * 2) = 0
(-154 + 2w2) = 0

Solving
-154 + 2w2 = 0

Solving for variable 'w'.

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

Add '154' to each side of the equation.
-154 + 154 + 2w2 = 0 + 154

Combine like terms: -154 + 154 = 0
0 + 2w2 = 0 + 154
2w2 = 0 + 154

Combine like terms: 0 + 154 = 154
2w2 = 154

Divide each side by '2'.
w2 = 77

Simplifying
w2 = 77

Take the square root of each side:
w = {-8.774964387, 8.774964387}