Solve for x: 12abx 2 – (9a 2 – 8b 2 ) x – 6ab = 0.

Question

Philoid · Accepted Answer

12abx² – (9a² – 8b²)x – 6ab = 0

12abx² – 9a²x + 8b²x– 6ab = 0

3ax(4bx – 3a) + 2b(4bx – 3a) = 0

(3ax + 2b)(4bx – 3a) = 0

So, we have

3ax + 2b = 0 or 4bx – 3a = 0

Solve for x: 12abx2 – (9a2 – 8b2) x – 6ab = 0.