(12x^2+11x+2)/(4x+1)

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Solution for (12x^2+11x+2)/(4x+1) equation: 


D( x )

4*x+1 = 0

4*x+1 = 0

4*x+1 = 0

4*x+1 = 0 // - 1

4*x = -1 // : 4

x = -1/4

x in (-oo:-1/4) U (-1/4:+oo)

(12*x^2+11*x+2)/(4*x+1) = 0

12*x^2+11*x+2 = 0

12*x^2+11*x+2 = 0

DELTA = 11^2-(2*4*12)

DELTA = 25

DELTA > 0

x = (25^(1/2)-11)/(2*12) or x = (-25^(1/2)-11)/(2*12)

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

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

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

( x+1/4 )

x+1/4 = 0 // - 1/4

x = -1/4

( x+2/3 )

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

x = -2/3

x in { -1/4} 

x = -2/3

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