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Question
Solve the following equation by factorization:
x2 + 18x = 40
Sum
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Solution
Given,
⇒ x2 + 18x = 40
⇒ x2 + 18x – 40 = 0
⇒ x2 + 20x – 2x – 40 = 0
⇒ x(x + 20) – 2(x + 20) = 0
⇒ (x – 2)(x + 20) = 0
⇒ x – 2 = 0 or x + 20 = 0 ...[Using zero-product rule]
⇒ x = 2 or x = –20
Hence, x = {–20, 2}.
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