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Question
Solve the following equation by factorization
`x^2/(15) - x/(3) - 10` = 0
Solution
`x^2/(15) - x/(3) - 10` = 0
⇒ x2 - 5x - 150 = 0 ...`{(∵ - 150 = -15 xx 10),(-5 = -15 + 10):}}`
⇒ x2 - 15x + 10x - 150 = 0
⇒ x(x - 15) + 10(x - 15) = 0
⇒ (x - 15) (x + 10) = 0
EIther x - 15,
then x = 15
or
x + 10 = 0,
then x = -10
∴ x = 15, -10.
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