#### Question

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

#### Solution

Given equation is 12abx^{2} – (9a^{2} – 8b^{2} ) x – 6ab = 0

⇒ 3ax(4bx – 3a) + 2b(4bx – 3a) = 0

⇒ (4bx – 3a) (3ax + 2b) = 0

⇒ 4bx – 3a = 0 or 3ax + 2b = 0

⇒ x =3a/4b or x = – 2b/3a

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Solution Solve for x : 12abx^2 – (9a^2 – 8b^2 ) x – 6ab = 0 Concept: Solutions of Quadratic Equations by Factorization.