8z^2=6z^2+3

Solution for 8z^2=6z^2+3 equation:

Simplifying
8z2 = 6z2 + 3

Reorder the terms:
8z2 = 3 + 6z2

Solving
8z2 = 3 + 6z2

Solving for variable 'z'.

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

Add '-6z2' to each side of the equation.
8z2 + -6z2 = 3 + 6z2 + -6z2

Combine like terms: 8z2 + -6z2 = 2z2
2z2 = 3 + 6z2 + -6z2

Combine like terms: 6z2 + -6z2 = 0
2z2 = 3 + 0
2z2 = 3

Divide each side by '2'.
z2 = 1.5

Simplifying
z2 = 1.5

Take the square root of each side:
z = {-1.224744871, 1.224744871}