8=2q^2

Solution for 8=2q^2 equation:

Simplifying
8 = 2q2

Solving
8 = 2q2

Solving for variable 'q'.

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

Add '-2q2' to each side of the equation.
8 + -2q2 = 2q2 + -2q2

Combine like terms: 2q2 + -2q2 = 0
8 + -2q2 = 0

Add '-8' to each side of the equation.
8 + -8 + -2q2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -2q2 = 0 + -8
-2q2 = 0 + -8

Combine like terms: 0 + -8 = -8
-2q2 = -8

Divide each side by '-2'.
q2 = 4

Simplifying
q2 = 4

Take the square root of each side:
q = {-2, 2}