4z^2-61=0

Solution for 4z^2-61=0 equation:

Simplifying
4z2 + -61 = 0

Reorder the terms:
-61 + 4z2 = 0

Solving
-61 + 4z2 = 0

Solving for variable 'z'.

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

Add '61' to each side of the equation.
-61 + 61 + 4z2 = 0 + 61

Combine like terms: -61 + 61 = 0
0 + 4z2 = 0 + 61
4z2 = 0 + 61

Combine like terms: 0 + 61 = 61
4z2 = 61

Divide each side by '4'.
z2 = 15.25

Simplifying
z2 = 15.25

Take the square root of each side:
z = {-3.905124838, 3.905124838}