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# Solve : (X + 1)(2x + 8) = (X + 7)(X + 3) - ICSE Class 10 - Mathematics

#### Question

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

#### Solution

(x + 1)(2x  + 8)  = (x + 7)(x + 3)

=> 2x^2 + 8x + 2x + 8 = x^2 + 3x + 7x + 21

=> 2x^2 + 10x + 8 = x^2   + 10x + 21

=> x^2 - 13 = 0

=> x^2 - (sqrt13)^2 = 0

=> (x + sqrt3)(x - sqrt3) = 0

if  x + sqrt13 = 0 or x- sqrt13 = 0

=> x = -sqrt13 or x= sqrt13

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Solution Solve : (X + 1)(2x + 8) = (X + 7)(X + 3) Concept: Quadratic Equations.
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