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# Solve the Following Quadratic Equations by Factorization: (X+3)/(X+2)=(3x-7)/(2x-3) - Mathematics

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#### Question

Solve the following quadratic equations by factorization:

(x+3)/(x+2)=(3x-7)/(2x-3)

#### Solution

We have been given

(x+3)/(x+2)=(3x-7)/(2x-3)

2x2 - 3x + 6x - 9 = 3x2 - 7x + 6x - 14

x2 - 4x - 5 = 0

x2 - 5x + x - 5 = 0

x(x - 5) + 1(x - 5) = 0

(x + 1)(x - 5) = 0

Therefore,

x + 1 = 0

x = -1

or,

x - 5 = 0

x = 5

Hence, x = -1 or x = 5

Is there an error in this question or solution?
Solve the Following Quadratic Equations by Factorization: (X+3)/(X+2)=(3x-7)/(2x-3) Concept: Solutions of Quadratic Equations by Factorization.