8z^2-22+12=0

Solution for 8z^2-22+12=0 equation:

Simplifying
8z2 + -22 + 12 = 0

Reorder the terms:
-22 + 12 + 8z2 = 0

Combine like terms: -22 + 12 = -10
-10 + 8z2 = 0

Solving
-10 + 8z2 = 0

Solving for variable 'z'.

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

Add '10' to each side of the equation.
-10 + 10 + 8z2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 8z2 = 0 + 10
8z2 = 0 + 10

Combine like terms: 0 + 10 = 10
8z2 = 10

Divide each side by '8'.
z2 = 1.25

Simplifying
z2 = 1.25

Take the square root of each side:
z = {-1.118033989, 1.118033989}