(14x+22)/(x+2)=-3x+1

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Solution for (14x+22)/(x+2)=-3x+1 equation:


D( x )

x+2 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x in (-oo:-2) U (-2:+oo)

(14*x+22)/(x+2) = 1-3*x // - 1-3*x

(14*x+22)/(x+2)-(-3*x)-1 = 0

(14*x+22)/(x+2)+3*x-1 = 0

(14*x+22)/(x+2)+(3*x*(x+2))/(x+2)+(-1*(x+2))/(x+2) = 0

3*x*(x+2)-1*(x+2)+14*x+22 = 0

3*x^2+20*x-x-2+22 = 0

3*x^2+19*x+20 = 0

3*x^2+19*x+20 = 0

3*x^2+19*x+20 = 0

DELTA = 19^2-(3*4*20)

DELTA = 121

DELTA > 0

x = (121^(1/2)-19)/(2*3) or x = (-121^(1/2)-19)/(2*3)

x = -4/3 or x = -5

(x+5)*(x+4/3) = 0

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

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

(x+5)*(x+4/3) = 0

( x+4/3 )

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

x = -4/3

( x+5 )

x+5 = 0 // - 5

x = -5

x in { -4/3, -5 }

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