8z^2-10-3=0

Solution for 8z^2-10-3=0 equation:

Simplifying
8z2 + -10 + -3 = 0

Reorder the terms:
-10 + -3 + 8z2 = 0

Combine like terms: -10 + -3 = -13
-13 + 8z2 = 0

Solving
-13 + 8z2 = 0

Solving for variable 'z'.

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

Add '13' to each side of the equation.
-13 + 13 + 8z2 = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 8z2 = 0 + 13
8z2 = 0 + 13

Combine like terms: 0 + 13 = 13
8z2 = 13

Divide each side by '8'.
z2 = 1.625

Simplifying
z2 = 1.625

Take the square root of each side:
z = {-1.274754878, 1.274754878}