5(x-4)=10/(x-4)

Simple and best practice solution for 5(x-4)=10/(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 5(x-4)=10/(x-4) equation: 


D( x )

x-4 = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

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

5*(x-4) = 10/(x-4) // - 10/(x-4)

5*(x-4)-(10/(x-4)) = 0

5*(x-4)-10*(x-4)^-1 = 0

5*(x-4)-10/(x-4) = 0

(5*(x-4)^2)/(x-4)-10/(x-4) = 0

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

5*x^2-40*x+70 = 0

5*x^2-40*x+70 = 0

5*(x^2-8*x+14) = 0

x^2-8*x+14 = 0

DELTA = (-8)^2-(1*4*14)

DELTA = 8

DELTA > 0

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

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

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

(5*(x-((8-2*2^(1/2))/2))*(x-((2*2^(1/2)+8)/2)))/(x-4) = 0

(5*(x-((8-2*2^(1/2))/2))*(x-((2*2^(1/2)+8)/2)))/(x-4) = 0 // * x-4

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

( 5 )

5 = 0

x belongs to the empty set

( x-((2*2^(1/2)+8)/2) )

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

x = (2*2^(1/2)+8)/2

( x-((8-2*2^(1/2))/2) )

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

x = (8-2*2^(1/2))/2

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

See similar equations:

| 3x(x+9)=-5(x+9) | | M^2=5m-4 | | (2y+6xy^2)dx+(3x+8x^2y)dy=0 | | X^2-8+2x-4=5x+10 | | 4(-x+7)=4x-4 | | 6(2n-m)= | | 2x-16+5x-82=360 | | 2cos^2(x)-2sin^2(x)= | | 11p+6=50 | | x*2-3=0 | | 2x-16+5x-82=180 | | x+yi=3-5i | | x+8=2x-8 | | K=99-4n(60) | | (2x+5)(-X+3)=0 | | 3a=7530 | | 3=7530 | | -2(2x+4)=4x+8 | | 6p-8=-6 | | 9n*5=414 | | 3(2-x)-1=x+10 | | 27=x^2+6x | | x^2-32+220=0 | | 5x+10y=165 | | 6x-4=16x-18 | | x^2+8x=144 | | 5z+3=15 | | ydx-(x-2)dy=2 | | 15674918363800-8273838+10837388-186366= | | 3(6-q)=24 | | -48=-8n | | 6(5r-4)=36 |

Equations solver categories