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Question
Solve the following equation by factorization:
x2 + 2x = 24
Sum
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Solution
Given,
⇒ x2 + 2x = 24
⇒ x2 + 2x – 24 = 0
⇒ x2 + 6x – 4x – 24 = 0
⇒ x(x + 6) – 4(x + 6) = 0
⇒ (x – 4)(x + 6) = 0
⇒ x – 4 = 0 or x + 6 = 0 ...[Using zero-product rule]
⇒ x = 4 or x = –6.
Hence, x = {–6, 4}.
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