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

Simple and best practice solution for 1/(4x+1)+1/(3x-1)=4 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

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


D( x )

3*x-1 = 0

4*x+1 = 0

3*x-1 = 0

3*x-1 = 0

3*x-1 = 0 // + 1

3*x = 1 // : 3

x = 1/3

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 (-1/4:1/3) U (1/3:+oo)

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

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

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

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

7*x-48*x^2+4*x+4 = 0

11*x-48*x^2+4 = 0

11*x-48*x^2+4 = 0

11*x-48*x^2+4 = 0

DELTA = 11^2-(-48*4*4)

DELTA = 889

DELTA > 0

x = (889^(1/2)-11)/(-48*2) or x = (-889^(1/2)-11)/(-48*2)

x = (889^(1/2)-11)/(-96) or x = (889^(1/2)+11)/96

(x-((889^(1/2)-11)/(-96)))*(x-((889^(1/2)+11)/96)) = 0

((x-((889^(1/2)-11)/(-96)))*(x-((889^(1/2)+11)/96)))/((4*x+1)*(3*x-1)) = 0

((x-((889^(1/2)-11)/(-96)))*(x-((889^(1/2)+11)/96)))/((4*x+1)*(3*x-1)) = 0 // * (4*x+1)*(3*x-1)

(x-((889^(1/2)-11)/(-96)))*(x-((889^(1/2)+11)/96)) = 0

( x-((889^(1/2)+11)/96) )

x-((889^(1/2)+11)/96) = 0 // + (889^(1/2)+11)/96

x = (889^(1/2)+11)/96

( x-((889^(1/2)-11)/(-96)) )

x-((889^(1/2)-11)/(-96)) = 0 // + (889^(1/2)-11)/(-96)

x = (889^(1/2)-11)/(-96)

x in { (889^(1/2)+11)/96, (889^(1/2)-11)/(-96) }

See similar equations:

| v=u-10 | | 0.79*3.7= | | 1/6x-6=18 | | 3x+11+6x=-12 | | -8x+9+9x=6+x+3 | | 1/(4x+1)+1(3x-1)=4 | | x+3.0=3.3 | | (A^4b^3/32a^-2b^4)^2/5 | | 10x-10=150 | | 2x-27y=0 | | .5x+1.1x+1.2=-6 | | 21+29x=35+22x | | 0.64/0.8 | | 11x=9x+214 | | x/3+11=7 | | 2/5x-5=15 | | 40k+80=30k+110 | | 0.5x+1.1x=-6 | | -10+10p^2+21p= | | 17y+3=20y-2 | | 15x+23=7x+57 | | 3x/(x-2)-8/(x-4)=3 | | 6x^2+4y=24 | | 3+1/7x=9 | | 9x-12=4x+7 | | 1x-2=3x | | 8y-3z+4y= | | (1/p-2)-(2/4p+3) | | -7/(x-7)-6/(x-5)=1 | | 8(x+3)-2x= | | -4/7=k-1/2 | | x*0.06=500 |

Equations solver categories