1/(4x+3)+1(2x-5)=2

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Solution for 1/(4x+3)+1(2x-5)=2 equation:


D( x )

4*x+3 = 0

4*x+3 = 0

4*x+3 = 0

4*x+3 = 0 // - 3

4*x = -3 // : 4

x = -3/4

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

1/(4*x+3)+1*(2*x-5) = 2 // - 2

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

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

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

2*x*(4*x+3)-5*(4*x+3)-2*(4*x+3)+1 = 0

8*x^2+6*x-20*x-8*x-15-6+1 = 0

8*x^2-14*x-8*x-14-6 = 0

8*x^2-22*x-20 = 0

8*x^2-22*x-20 = 0

2*(4*x^2-11*x-10) = 0

4*x^2-11*x-10 = 0

DELTA = (-11)^2-(-10*4*4)

DELTA = 281

DELTA > 0

x = (281^(1/2)+11)/(2*4) or x = (11-281^(1/2))/(2*4)

x = (281^(1/2)+11)/8 or x = (11-281^(1/2))/8

2*(x-((11-281^(1/2))/8))*(x-((281^(1/2)+11)/8)) = 0

(2*(x-((11-281^(1/2))/8))*(x-((281^(1/2)+11)/8)))/(4*x+3) = 0

(2*(x-((11-281^(1/2))/8))*(x-((281^(1/2)+11)/8)))/(4*x+3) = 0 // * 4*x+3

2*(x-((11-281^(1/2))/8))*(x-((281^(1/2)+11)/8)) = 0

( x-((11-281^(1/2))/8) )

x-((11-281^(1/2))/8) = 0 // + (11-281^(1/2))/8

x = (11-281^(1/2))/8

( x-((281^(1/2)+11)/8) )

x-((281^(1/2)+11)/8) = 0 // + (281^(1/2)+11)/8

x = (281^(1/2)+11)/8

x in { (11-281^(1/2))/8, (281^(1/2)+11)/8 }

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