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