3/(x-5)=10/2x

Simple and best practice solution for 3/(x-5)=10/2x 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 3/(x-5)=10/2x equation: 


D( x )

x-5 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x in (-oo:5) U (5:+oo)

3/(x-5) = (10/2)*x // - (10/2)*x

3/(x-5)-((10/2)*x) = 0

3/(x-5)-5*x = 0

3/(x-5)+(-5*x*(x-5))/(x-5) = 0

3-5*x*(x-5) = 0

25*x-5*x^2+3 = 0

25*x-5*x^2+3 = 0

25*x-5*x^2+3 = 0

DELTA = 25^2-(-5*3*4)

DELTA = 685

DELTA > 0

x = (685^(1/2)-25)/(-5*2) or x = (-685^(1/2)-25)/(-5*2)

x = (685^(1/2)-25)/(-10) or x = (685^(1/2)+25)/10

(x-((685^(1/2)-25)/(-10)))*(x-((685^(1/2)+25)/10)) = 0

((x-((685^(1/2)-25)/(-10)))*(x-((685^(1/2)+25)/10)))/(x-5) = 0

((x-((685^(1/2)-25)/(-10)))*(x-((685^(1/2)+25)/10)))/(x-5) = 0 // * x-5

(x-((685^(1/2)-25)/(-10)))*(x-((685^(1/2)+25)/10)) = 0

( x-((685^(1/2)+25)/10) )

x-((685^(1/2)+25)/10) = 0 // + (685^(1/2)+25)/10

x = (685^(1/2)+25)/10

( x-((685^(1/2)-25)/(-10)) )

x-((685^(1/2)-25)/(-10)) = 0 // + (685^(1/2)-25)/(-10)

x = (685^(1/2)-25)/(-10)

x in { (685^(1/2)+25)/10, (685^(1/2)-25)/(-10) }

See similar equations:

| ln(x+4)-ln(x-2)=7 | | 2x+3=2x-15 | | e=i-p | | -4.7p+5.6-(7p+0.3)+5.6p= | | w/5=(w-14)/9 | | 1/4(-24r-28)=-6r-7 | | 12x+5-7x=25 | | Y=3x^2+36-33 | | .414=log(x) | | 5(x-6)+2=7x+2 | | 56+[x(12-34)]=(12-z) | | z^2+7z-40=0 | | 11=6-3x-4 | | 42-3b=45 | | 1/4x==2 | | 7x-3y-10=0 | | X=1200 | | r-7.5=7.1 | | 33u+3=0 | | 3k-6=8k-4 | | -3(x+n)=9 | | 5(3+2x)=9(x+1) | | -1x-4=(x+3)+8 | | 3+x=1203 | | -3=12y-5(3y-7) | | X/4-1/5=2 | | 4x+6+3x-4=-7x+14x+6 | | 4+6n=9n+7 | | Y-2(0)-4=0 | | -6a+3+7a=10-22 | | -4(9+x)+5x= | | (x-2/x)=5/7 |

Equations solver categories