4z^2-117=3

Solution for 4z^2-117=3 equation:

Simplifying
4z2 + -117 = 3

Reorder the terms:
-117 + 4z2 = 3

Solving
-117 + 4z2 = 3

Solving for variable 'z'.

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

Add '117' to each side of the equation.
-117 + 117 + 4z2 = 3 + 117

Combine like terms: -117 + 117 = 0
0 + 4z2 = 3 + 117
4z2 = 3 + 117

Combine like terms: 3 + 117 = 120
4z2 = 120

Divide each side by '4'.
z2 = 30

Simplifying
z2 = 30

Take the square root of each side:
z = {-5.477225575, 5.477225575}