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

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


x in (-oo:+oo)

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

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

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

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

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

2*x^2+6*x = 0

2*x^2+6*x = 0

2*x*(x+3) = 0

x+3 = 0 // - 3

x = -3

2*x*(x+3) = 0

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

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

2*x*(x+3) = 0

( 2*x )

2*x = 0 // : 2

x = 0

( x+3 )

x+3 = 0 // - 3

x = -3

x in { 0, -3 }

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