(2x^2)/(x+4)=(-3x)/(4x-3)

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Solution for (2x^2)/(x+4)=(-3x)/(4x-3) equation: 


D( x )

x+4 = 0

4*x-3 = 0

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

4*x-3 = 0

4*x-3 = 0

4*x-3 = 0 // + 3

4*x = 3 // : 4

x = 3/4

x in (-oo:-4) U (-4:3/4) U (3/4:+oo)

(2*x^2)/(x+4) = (-3*x)/(4*x-3) // - (-3*x)/(4*x-3)

(2*x^2)/(x+4)-((-3*x)/(4*x-3)) = 0

(2*x^2)/(x+4)+3*x*(4*x-3)^-1 = 0

(2*x^2)/(x+4)+(3*x)/(4*x-3) = 0

(2*x^2*(4*x-3))/((x+4)*(4*x-3))+(3*x*(x+4))/((x+4)*(4*x-3)) = 0

2*x^2*(4*x-3)+3*x*(x+4) = 0

8*x^3-3*x^2+12*x = 0

8*x^3-3*x^2+12*x = 0

x*(8*x^2-3*x+12) = 0

8*x^2-3*x+12 = 0

DELTA = (-3)^2-(4*8*12)

DELTA = -375

DELTA < 0

x = 0

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

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

x = 0

x = 0

x = 0

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