(x^2+6x)/(4x+24)=x

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Solution for (x^2+6x)/(4x+24)=x equation:


D( x )

4*x+24 = 0

4*x+24 = 0

4*x+24 = 0

4*x+24 = 0 // - 24

4*x = -24 // : 4

x = -24/4

x = -6

x in (-oo:-6) U (-6:+oo)

(x^2+6*x)/(4*x+24) = x // - x

(x^2+6*x)/(4*x+24)-x = 0

(x^2+6*x)/(4*x+24)+(-x*(4*x+24))/(4*x+24) = 0

x^2-x*(4*x+24)+6*x = 0

-3*x^2-18*x = 0

-3*x^2-18*x = 0

-3*x*(x+6) = 0

x+6 = 0 // - 6

x = -6

-3*x*(x+6) = 0

(-3*x*(x+6))/(4*x+24) = 0

(-3*x*(x+6))/(4*x+24) = 0 // * 4*x+24

-3*x*(x+6) = 0

( -3*x )

-3*x = 0 // : -3

x = 0

( x+6 )

x+6 = 0 // - 6

x = -6

x in { -6}

x = 0

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