Solve for x 4 x 3 5 2x 3

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Solve by factorization method: (4/x ) -3 = 5/(2x+3) , x≠ 0, -3/2.

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Answer:

The solution of the expression is x=-2 and x=1.    

Step-by-step explanation:

Given : Expression (\frac{4}{x})-3=\frac{5}{2x+3}

To find : Solve by factorization?

Solution :

Solve the expression,

(\frac{4}{x})-3=\frac{5}{2x+3}

\frac{4-3x}{x}=\frac{5}{2x+3}

Cross multiply,

(4-3x)(2x+3)=5x

8x+12-6x^2-9x=5x

6x^2+6x-12=0

x^2+x-2=0

Apply middle term split,

x^2+2x-x-2=0

x(x+2)-1(x+2)=0

(x+2)(x-1)=0

x=-2,1

Therefore, The solution of the expression is x=-2 and x=1.


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