Answer:
q = 2/3
Explanation:
From the question the equation is given by,
1/2 - 1/8q=q-1/4
Rearranging the terms in the given equation and bringing the similar terms to the same side of the equation,
- 1/8q -q = -1/4 - 1/2
Adding the terms in the equation of both left and right hand side of equation:
-((1+8)/8) × q = -(1+2)/4
-(9/8) × q = -3/4
Dividing the both sides of the equation by 3/4
-3/2q = -1
Multiplying the both sides of the equation by -2/3
Therefore, q=2/3