(1/12)+(1/x)=(1/14)+(1/(x-4))

Simple and best practice solution for (1/12)+(1/x)=(1/14)+(1/(x-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 (1/12)+(1/x)=(1/14)+(1/(x-4)) equation: 


D( x )

x = 0

x-4 = 0

x = 0

x = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:0) U (0:4) U (4:+oo)

1/x+1/12 = 1/(x-4)+1/14 // - 1/(x-4)+1/14

1/x-(1/(x-4))+1/12-(1/14) = 0

1/x-(x-4)^-1+1/12-1/14 = 0

1/x-1/(x-4)+1/12-1/14 = 0

(-1*12*14*x)/(12*14*x*(x-4))+(1*12*14*(x-4))/(12*14*x*(x-4))+(1*14*x*(x-4))/(12*14*x*(x-4))+(-1*12*x*(x-4))/(12*14*x*(x-4)) = 0

1*12*14*(x-4)+1*14*x*(x-4)-1*12*x*(x-4)-1*12*14*x = 0

14*x^2-12*x^2-56*x+48*x-672 = 0

2*x^2-8*x-672 = 0

2*x^2-8*x-672 = 0

2*(x^2-4*x-336) = 0

x^2-4*x-336 = 0

DELTA = (-4)^2-(-336*1*4)

DELTA = 1360

DELTA > 0

x = (1360^(1/2)+4)/(1*2) or x = (4-1360^(1/2))/(1*2)

x = (4*85^(1/2)+4)/2 or x = (4-4*85^(1/2))/2

2*(x-((4-4*85^(1/2))/2))*(x-((4*85^(1/2)+4)/2)) = 0

(2*(x-((4-4*85^(1/2))/2))*(x-((4*85^(1/2)+4)/2)))/(12*14*x*(x-4)) = 0

(2*(x-((4-4*85^(1/2))/2))*(x-((4*85^(1/2)+4)/2)))/(12*14*x*(x-4)) = 0 // * 12*14*x*(x-4)

2*(x-((4-4*85^(1/2))/2))*(x-((4*85^(1/2)+4)/2)) = 0

( x-((4*85^(1/2)+4)/2) )

x-((4*85^(1/2)+4)/2) = 0 // + (4*85^(1/2)+4)/2

x = (4*85^(1/2)+4)/2

( x-((4-4*85^(1/2))/2) )

x-((4-4*85^(1/2))/2) = 0 // + (4-4*85^(1/2))/2

x = (4-4*85^(1/2))/2

x in { (4*85^(1/2)+4)/2, (4-4*85^(1/2))/2 }

See similar equations:

| 14-3(3-2x)=23 | | 9/10a+7=4/5a | | x^2-3x=104 | | 576/625(12-(-49/6912)) | | 3n-8=-19 | | 25+0.15m=71.8 | | 71.8m+25=0.15 | | 7x-10y=20 | | (12+x)/2=15 | | 3(2x-4)-4=3(x-2)+11 | | 4x+8=10(x-1) | | 25m+0.15=71.8 | | (4g+7)(4g-7)= | | 8x-(4x+2)=6x-36 | | 30=w/6 | | z+9c=27 | | 24=m(4)+20 | | 1/2(7(-7/12)+48) | | 24=m(4)-20 | | 7(4x-2)=45 | | 3(3x-7)=23 | | 2x-5=2y | | X^2-x-75=0 | | -17=-5(2)+b | | 3x-4x-1/6=5x-2/12 | | 196=3.14r^2 | | 3x-(5+3x)=7x+2 | | 0,12=0,15*x+0,08*(500-x)/500 | | 7x-9=5x-5 | | T^2-33=0 | | 4(3x-10)=20 | | (X+1)(x+5)=(2x+3)(x-5) |

Equations solver categories