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in Quadratic Equations by (15 points)
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Factorize:

12abx2 – (9a2 – 8b2 ) x – 6ab = 0

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1 Answer

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Given equation is 12abx2 – (9a2 – 8b2 ) 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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