6z^2-294=0

Solution for 6z^2-294=0 equation:

Simplifying
6z2 + -294 = 0

Reorder the terms:
-294 + 6z2 = 0

Solving
-294 + 6z2 = 0

Solving for variable 'z'.

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

Add '294' to each side of the equation.
-294 + 294 + 6z2 = 0 + 294

Combine like terms: -294 + 294 = 0
0 + 6z2 = 0 + 294
6z2 = 0 + 294

Combine like terms: 0 + 294 = 294
6z2 = 294

Divide each side by '6'.
z2 = 49

Simplifying
z2 = 49

Take the square root of each side:
z = {-7, 7}