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Question
Solve the following equation by factorization
x(6x – 1) = 35
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Solution
x(6x – 1) = 35
⇒ 6x2 - x - 35 = 0
⇒ 6x2 - 15x + 14x - 35 = 0
⇒ 3x (2x - 5) + 7 (2x - 5) = 0
⇒ (2x - 5) (3x + 7) = 0
Either 2x - 5 = 0,
then 2x = 5
⇒ x = `(5)/(2)`
or
3x + 7 = 0,
then 3x = -7
⇒ x = `(-7)/(3)`
Hence x = `(5)/(2), (-7)/(3)`.
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