(3x)/(4)-(4x)/(x+6)

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Solution for (3x)/(4)-(4x)/(x+6) equation: 


D( x )

x+6 = 0

x+6 = 0

x+6 = 0

x+6 = 0 // - 6

x = -6

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

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

(3*x)/4-4*x*(x+6)^-1 = 0

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

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

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

3*x^2+2*x = 0

3*x^2+2*x = 0

x*(3*x+2) = 0

3*x+2 = 0 // - 2

3*x = -2 // : 3

x = -2/3

x*(x+2/3) = 0

(x*(x+2/3))/(4*(x+6)) = 0

(x*(x+2/3))/(4*(x+6)) = 0 // * 4*(x+6)

x*(x+2/3) = 0

( x+2/3 )

x+2/3 = 0 // - 2/3

x = -2/3

( x )

x = 0

x in { -2/3, 0 }

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