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Question
Solve the following equation by factorization
6p2+ 11p – 10 = 0
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Solution
6p2+ 11p – 10 = 0
⇒ 6p2 + 15p – 4p – 10 = 0
⇒ 3p(2p + 5) – 2(2p + 5) = 0
(2p + 5) (3p - 2) = 0
Either 2p + 5 = 0, then 2p = -5 ⇒ p = `(-5)/(2)`
or 3p - 2 = 0, then 3p = 2 ⇒ p = `(2)/(3)`
Hence p = `(-5)/(2), (2)/(3)`.
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