256z^2-4-192z^2+3=0

Solution for 256z^2-4-192z^2+3=0 equation:

Simplifying
256z2 + -4 + -192z2 + 3 = 0

Reorder the terms:
-4 + 3 + 256z2 + -192z2 = 0

Combine like terms: -4 + 3 = -1
-1 + 256z2 + -192z2 = 0

Combine like terms: 256z2 + -192z2 = 64z2
-1 + 64z2 = 0

Solving
-1 + 64z2 = 0

Solving for variable 'z'.

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

Add '1' to each side of the equation.
-1 + 1 + 64z2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 64z2 = 0 + 1
64z2 = 0 + 1

Combine like terms: 0 + 1 = 1
64z2 = 1

Divide each side by '64'.
z2 = 0.015625

Simplifying
z2 = 0.015625

Take the square root of each side:
z = {-0.125, 0.125}