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प्रश्न
Solve the following equation by factorization:
6x(3x – 7) = 7(7 – 3x)
बेरीज
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उत्तर
Given,
⇒ 6x(3x – 7) = 7(7 – 3x)
⇒ 18x2 – 42x = 49 – 21x
⇒ 18x2 – 42x + 21x – 49 = 0
⇒ 6x(3x – 7) + 7(3x – 7) = 0
⇒ (3x – 7)(6x + 7) = 0
⇒ (3x – 7) = 0 or (6x + 7) = 0 ...[Using zero-product rule]
⇒ 3x = 7 or 6x = –7
⇒ `x = 7/3` or `x = (-7)/6`
Hence, `x = {7/3, (-7)/6}`.
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