2z^2-42=0

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

Simplifying
2z2 + -42 = 0

Reorder the terms:
-42 + 2z2 = 0

Solving
-42 + 2z2 = 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 + 2z2 = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 2z2 = 0 + 42
2z2 = 0 + 42

Combine like terms: 0 + 42 = 42
2z2 = 42

Divide each side by '2'.
z2 = 21

Simplifying
z2 = 21

Take the square root of each side:
z = {-4.582575695, 4.582575695}