7w^2-6=0

Solution for 7w^2-6=0 equation:

Simplifying
7w2 + -6 = 0

Reorder the terms:
-6 + 7w2 = 0

Solving
-6 + 7w2 = 0

Solving for variable 'w'.

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

Add '6' to each side of the equation.
-6 + 6 + 7w2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 7w2 = 0 + 6
7w2 = 0 + 6

Combine like terms: 0 + 6 = 6
7w2 = 6

Divide each side by '7'.
w2 = 0.8571428571

Simplifying
w2 = 0.8571428571

Take the square root of each side:
w = {-0.9258201, 0.9258201}