(1)/(4x+5)+(1)/(3x-3)=4

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Solution for (1)/(4x+5)+(1)/(3x-3)=4 equation: 


D( x )

3*x-3 = 0

4*x+5 = 0

3*x-3 = 0

3*x-3 = 0

3*x-3 = 0 // + 3

3*x = 3 // : 3

x = 3/3

x = 1

4*x+5 = 0

4*x+5 = 0

4*x+5 = 0 // - 5

4*x = -5 // : 4

x = -5/4

x in (-oo:-5/4) U (-5/4:1) U (1:+oo)

1/(4*x+5)+1/(3*x-3) = 4 // - 4

1/(4*x+5)+1/(3*x-3)-4 = 0

(1*(3*x-3))/((4*x+5)*(3*x-3))+(1*(4*x+5))/((4*x+5)*(3*x-3))+(-4*(4*x+5)*(3*x-3))/((4*x+5)*(3*x-3)) = 0

1*(3*x-3)+1*(4*x+5)-4*(4*x+5)*(3*x-3) = 0

7*x-48*x^2-12*x+2+60 = 0

62-48*x^2-5*x = 0

62-48*x^2-5*x = 0

62-48*x^2-5*x = 0

DELTA = (-5)^2-(-48*4*62)

DELTA = 11929

DELTA > 0

x = (11929^(1/2)+5)/(-48*2) or x = (5-11929^(1/2))/(-48*2)

x = (11929^(1/2)+5)/(-96) or x = (5-11929^(1/2))/(-96)

(x-((11929^(1/2)+5)/(-96)))*(x-((5-11929^(1/2))/(-96))) = 0

((x-((11929^(1/2)+5)/(-96)))*(x-((5-11929^(1/2))/(-96))))/((4*x+5)*(3*x-3)) = 0

((x-((11929^(1/2)+5)/(-96)))*(x-((5-11929^(1/2))/(-96))))/((4*x+5)*(3*x-3)) = 0 // * (4*x+5)*(3*x-3)

(x-((11929^(1/2)+5)/(-96)))*(x-((5-11929^(1/2))/(-96))) = 0

( x-((11929^(1/2)+5)/(-96)) )

x-((11929^(1/2)+5)/(-96)) = 0 // + (11929^(1/2)+5)/(-96)

x = (11929^(1/2)+5)/(-96)

( x-((5-11929^(1/2))/(-96)) )

x-((5-11929^(1/2))/(-96)) = 0 // + (5-11929^(1/2))/(-96)

x = (5-11929^(1/2))/(-96)

x in { (11929^(1/2)+5)/(-96), (5-11929^(1/2))/(-96) }

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