(3x+2)/(2x-1)=(x-14)/(x+5)

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Solution for (3x+2)/(2x-1)=(x-14)/(x+5) equation: 


D( x )

x+5 = 0

2*x-1 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

2*x-1 = 0

2*x-1 = 0

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

x in (-oo:-5) U (-5:1/2) U (1/2:+oo)

(3*x+2)/(2*x-1) = (x-14)/(x+5) // - (x-14)/(x+5)

(3*x+2)/(2*x-1)-((x-14)/(x+5)) = 0

(3*x+2)/(2*x-1)+(-1*(x-14))/(x+5) = 0

((3*x+2)*(x+5))/((2*x-1)*(x+5))+(-1*(x-14)*(2*x-1))/((2*x-1)*(x+5)) = 0

(3*x+2)*(x+5)-1*(x-14)*(2*x-1) = 0

x^2+46*x-4 = 0

x^2+46*x-4 = 0

x^2+46*x-4 = 0

DELTA = 46^2-(-4*1*4)

DELTA = 2132

DELTA > 0

x = (2132^(1/2)-46)/(1*2) or x = (-2132^(1/2)-46)/(1*2)

x = (2*533^(1/2)-46)/2 or x = (-2*533^(1/2)-46)/2

(x-((-2*533^(1/2)-46)/2))*(x-((2*533^(1/2)-46)/2)) = 0

((x-((-2*533^(1/2)-46)/2))*(x-((2*533^(1/2)-46)/2)))/((2*x-1)*(x+5)) = 0

((x-((-2*533^(1/2)-46)/2))*(x-((2*533^(1/2)-46)/2)))/((2*x-1)*(x+5)) = 0 // * (2*x-1)*(x+5)

(x-((-2*533^(1/2)-46)/2))*(x-((2*533^(1/2)-46)/2)) = 0

( x-((-2*533^(1/2)-46)/2) )

x-((-2*533^(1/2)-46)/2) = 0 // + (-2*533^(1/2)-46)/2

x = (-2*533^(1/2)-46)/2

( x-((2*533^(1/2)-46)/2) )

x-((2*533^(1/2)-46)/2) = 0 // + (2*533^(1/2)-46)/2

x = (2*533^(1/2)-46)/2

x in { (-2*533^(1/2)-46)/2, (2*533^(1/2)-46)/2 }

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