Help how would I solve this equation: 7q - 2 = 4/q

Multiply both sides by q:

q(7q - 2) = 4/q * q
7q² - 2q = 4

Then, bring 4 to the left:

7q² - 2q - 4 = 0

Since the expression is not factorable, use quadratic formula, letting:

a = 7
b = -2
c = -4

So:

q = (-b ± √(b² - 4ac))/2a
= (2 ± √((-2)² -4*7*-4))/(2*7)
= (2 ± √(4 + 112))/14
= (2 ± √(116))/14
= (2 ± √(29*4))/14
= (2 ± 2√29)/14
= 2(1 ± √29)/14
= (1 ± √29)/7

I hope this helps!