6z^2-42=0

Solution for 6z^2-42=0 equation:

Simplifying
6z2 + -42 = 0

Reorder the terms:
-42 + 6z2 = 0

Solving
-42 + 6z2 = 0

Solving for variable 'z'.

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

Add '42' to each side of the equation.
-42 + 42 + 6z2 = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 6z2 = 0 + 42
6z2 = 0 + 42

Combine like terms: 0 + 42 = 42
6z2 = 42

Divide each side by '6'.
z2 = 7

Simplifying
z2 = 7

Take the square root of each side:
z = {-2.645751311, 2.645751311}