2(w^2-14)=

Solution for 2(w^2-14)= equation:

Simplifying
2(w2 + -14) = 0

Reorder the terms:
2(-14 + w2) = 0
(-14 * 2 + w2 * 2) = 0
(-28 + 2w2) = 0

Solving
-28 + 2w2 = 0

Solving for variable 'w'.

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

Add '28' to each side of the equation.
-28 + 28 + 2w2 = 0 + 28

Combine like terms: -28 + 28 = 0
0 + 2w2 = 0 + 28
2w2 = 0 + 28

Combine like terms: 0 + 28 = 28
2w2 = 28

Divide each side by '2'.
w2 = 14

Simplifying
w2 = 14

Take the square root of each side:
w = {-3.741657387, 3.741657387}