4z^2-16+15=0

Solution for 4z^2-16+15=0 equation:

Simplifying
4z2 + -16 + 15 = 0

Reorder the terms:
-16 + 15 + 4z2 = 0

Combine like terms: -16 + 15 = -1
-1 + 4z2 = 0

Solving
-1 + 4z2 = 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 + 4z2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4z2 = 0 + 1
4z2 = 0 + 1

Combine like terms: 0 + 1 = 1
4z2 = 1

Divide each side by '4'.
z2 = 0.25

Simplifying
z2 = 0.25

Take the square root of each side:
z = {-0.5, 0.5}