(12/(2x-4))+(1/(x-2))=7/2

Simple and best practice solution for (12/(2x-4))+(1/(x-2))=7/2 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 (12/(2x-4))+(1/(x-2))=7/2 equation: 


D( x )

x-2 = 0

2*x-4 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

2*x-4 = 0

2*x-4 = 0

2*x-4 = 0 // + 4

2*x = 4 // : 2

x = 4/2

x = 2

x in (-oo:2) U (2:+oo)

12/(2*x-4)+1/(x-2) = 7/2 // - 7/2

12/(2*x-4)+1/(x-2)-(7/2) = 0

12/(2*x-4)+1/(x-2)-7/2 = 0

(2*12*(x-2))/(2*(2*x-4)*(x-2))+(1*2*(2*x-4))/(2*(2*x-4)*(x-2))+(-7*(2*x-4)*(x-2))/(2*(2*x-4)*(x-2)) = 0

2*12*(x-2)+1*2*(2*x-4)-7*(2*x-4)*(x-2) = 0

28*x-14*x^2+56*x-56-56 = 0

84*x-14*x^2-112 = 0

84*x-14*x^2-112 = 0

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

6*x-x^2-8 = 0

DELTA = 6^2-(-8*(-1)*4)

DELTA = 4

DELTA > 0

x = (4^(1/2)-6)/(-1*2) or x = (-4^(1/2)-6)/(-1*2)

x = 2 or x = 4

14*(x-2)*(x-4) = 0

(14*(x-2)*(x-4))/(2*(2*x-4)*(x-2)) = 0

(14*(x-2)*(x-4))/(2*(2*x-4)*(x-2)) = 0 // * 2*(2*x-4)*(x-2)

14*(x-2)*(x-4) = 0

( x-2 )

x-2 = 0 // + 2

x = 2

( x-4 )

x-4 = 0 // + 4

x = 4

x in { 2} 

x = 4

See similar equations:

| 2.5x+4=5x+9 | | (20/(x^2-4))-(5/(x-2))=4/(x+2) | | 3(4-2x)-7(1-2x)=13 | | c=(6n-5g)/11t | | 6/((x^2)-3x)=1/((x^2)-9) | | ((w+4)/7)-((w-4)/25)=1 | | 10x^5+14x-25x^4-35= | | 4(r+3)-2r=+12 | | 2x+(21/2)=(x/2)+2x+6 | | (m/(m-9))-10=9/(m-9) | | (y+7)/y=9/8 | | 2-2(x-3)=4x-4(x-3) | | x^2+9/7x=-2/7 | | x^2+9/7=-2/7 | | 5y+5-9y+2= | | |x+5|-2=6 | | -7=3-m | | 10(30-10)+10/2 | | x-0.40x=43.90 | | 6x+9-4x+3= | | x-0.65x=99.99 | | -7=-2/5x+4 | | 3(x+1)-8=2x+7 | | 2|x|=-4 | | 10(30-10)+5= | | 2x(4+8)+6=10x+6 | | 2(4+8)/6 | | 4(19-4)/3 | | 20x^2-49x+30=0 | | 4a-7b+3c-5b= | | x+1/5X=30 | | Y/-11=-11 |

Equations solver categories