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Question
Solve the following equation by factorization:
12x2 + 29x + 14 = 0
Sum
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Solution
Given,
⇒ 12x2 + 29x + 14 = 0
⇒ 12x2 + 21x + 8x + 14 = 0
⇒ 3x(4x + 7) + 2(4x + 7) = 0
⇒ (4x + 7)(3x + 2) = 0
⇒ 4x + 7 = 0 or 3x + 2 = 0 ...[Using zero-product rule]
⇒ 4x = –7 or 3x = –2
⇒ `x = (-7)/4` or `x = (-2)/3`
Hence, `x = {(-7)/4, (-2)/3}`.
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