((6x^2)+5x-4)/(3x+4)

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Solution for ((6x^2)+5x-4)/(3x+4) equation: 


D( x )

3*x+4 = 0

3*x+4 = 0

3*x+4 = 0

3*x+4 = 0 // - 4

3*x = -4 // : 3

x = -4/3

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

(6*x^2+5*x-4)/(3*x+4) = 0

6*x^2+5*x-4 = 0

6*x^2+5*x-4 = 0

DELTA = 5^2-(-4*4*6)

DELTA = 121

DELTA > 0

x = (121^(1/2)-5)/(2*6) or x = (-121^(1/2)-5)/(2*6)

x = 1/2 or x = -4/3

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

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

( x+4/3 )

x+4/3 = 0 // - 4/3

x = -4/3

( x-1/2 )

x-1/2 = 0 // + 1/2

x = 1/2

x in { -4/3} 

x = 1/2

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