((2x-3)/(3x+5))=y

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Solution for ((2x-3)/(3x+5))=y equation: 


D( x )

3*x+5 = 0

3*x+5 = 0

3*x+5 = 0

3*x+5 = 0 // - 5

3*x = -5 // : 3

x = -5/3

x in (-oo:-5/3) U (-5/3:+oo)

(2*x-3)/(3*x+5) = y // - y

(2*x-3)/(3*x+5)-y = 0

(2*x-3)/(3*x+5)+(-y*(3*x+5))/(3*x+5) = 0

2*x-y*(3*x+5)-3 = 0

2*x-3*x*y-5*y-3 = 0

(2*x-3*x*y-5*y-3)/(3*x+5) = 0

(2*x-3*x*y-5*y-3)/(3*x+5) = 0 // * 3*x+5

2*x-3*x*y-5*y-3 = 0

-3*x*y-5*y-3 = 0 // + -5*y-3

-3*x*y = -(-5*y-3) // : -3*y

x = (-(-5*y-3))/(-3*y)

x = (3-(-5*y))/(-3*y)

x = (3-(-5*y))/(-3*y)

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