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Mathematics

Solve the following equation by factorisation:

(x + 1)(2x + 8) = (x + 7)(x + 3)

Quadratic Equations

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Answer

⇒ (x + 1)(2x + 8) = (x + 7)(x + 3)

⇒ 2x2 + 8x + 2x + 8 = x2 + 3x + 7x + 21

⇒ 2x2 - x2 + 10x + 8 = 10x + 21

⇒ x2 + 10x - 10x = 21 - 8

⇒ x2 = 13

⇒ x = ±13\pm \sqrt{13}

Hence, x = +13+ \sqrt{13} or x = 13- \sqrt{13}.

i.e., x = 3.61 or x = -3.61

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