10z^2+6=8

Solution for 10z^2+6=8 equation:

Simplifying
10z2 + 6 = 8

Reorder the terms:
6 + 10z2 = 8

Solving
6 + 10z2 = 8

Solving for variable 'z'.

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

Add '-6' to each side of the equation.
6 + -6 + 10z2 = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 10z2 = 8 + -6
10z2 = 8 + -6

Combine like terms: 8 + -6 = 2
10z2 = 2

Divide each side by '10'.
z2 = 0.2

Simplifying
z2 = 0.2

Take the square root of each side:
z = {-0.447213596, 0.447213596}