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Mathematics

Solve the following equation by factorization:

x2 + 2x = 24

Quadratic Equations

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Answer

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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