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Question
Solve the following equation by factorization:
x(6x – 11) = 35
Sum
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Solution
Given,
⇒ x(6x – 11) = 35
⇒ 6x2 – 11x – 35 = 0
⇒ 6x2 + 10x – 21x – 35 = 0
⇒ 2x(3x + 5) – 7(3x + 5) = 0
⇒ (3x + 5)(2x – 7) = 0
⇒ (3x + 5) = 0 or (2x – 7) = 0 ...[Using zero-product rule]
⇒ 3x = –5 or 2x = 7
⇒ `x = (-5)/3` or `x = 7/2`
Hence, `x = {(-5)/3, 7/2}`.
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