4x^2-16x/(2x-8)

Simple and best practice solution for 4x^2-16x/(2x-8) 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 4x^2-16x/(2x-8) equation: 


D( x )

2*x-8 = 0

2*x-8 = 0

2*x-8 = 0

2*x-8 = 0 // + 8

2*x = 8 // : 2

x = 8/2

x = 4

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

4*x^2-((16*x)/(2*x-8)) = 0

4*x^2-16*x*(2*x-8)^-1 = 0

(-16*x)/(2*x-8)+4*x^2 = 0

(-16*x)/(2*x-8)+(4*x^2*(2*x-8))/(2*x-8) = 0

4*x^2*(2*x-8)-16*x = 0

8*x^3-32*x^2-16*x = 0

8*x^3-32*x^2-16*x = 0

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

x^2-4*x-2 = 0

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

DELTA = 24

DELTA > 0

x = (24^(1/2)+4)/(1*2) or x = (4-24^(1/2))/(1*2)

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

8*x*(x-((4-2*6^(1/2))/2))*(x-((2*6^(1/2)+4)/2)) = 0

(8*x*(x-((4-2*6^(1/2))/2))*(x-((2*6^(1/2)+4)/2)))/(2*x-8) = 0

(8*x*(x-((4-2*6^(1/2))/2))*(x-((2*6^(1/2)+4)/2)))/(2*x-8) = 0 // * 2*x-8

8*x*(x-((4-2*6^(1/2))/2))*(x-((2*6^(1/2)+4)/2)) = 0

( 8*x )

8*x = 0 // : 8

x = 0

( x-((2*6^(1/2)+4)/2) )

x-((2*6^(1/2)+4)/2) = 0 // + (2*6^(1/2)+4)/2

x = (2*6^(1/2)+4)/2

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

x-((4-2*6^(1/2))/2) = 0 // + (4-2*6^(1/2))/2

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

x in { 0, (2*6^(1/2)+4)/2, (4-2*6^(1/2))/2 }

See similar equations:

| X+3*x=56 | | 3(6)-4(7)=5 | | 69.9-9.19= | | .1x-6=.09 | | 27=36-y | | 10.00+20.00d=6 | | 8=10w | | 8=10xw | | 5x+2(x+6)=40 | | 6+2x=32x | | 3(2x+2)-5=37 | | 7/6=-15/x | | x=y/b-15 | | 7(x+1)-4x(x+3)= | | 98.15-72.6= | | 9x+14-8x=-7-11 | | 9.26-6.35= | | 47.5(x)=95 | | 79y=26(3y+1) | | -5=u-7 | | 6=v-1 | | 2lne^5x= | | 2x-1=7x-11 | | 27=x(20) | | -6p+5.8=23.8 | | 39.14-4.2= | | 7385-67x=2650 | | 72=9+x+y | | 4(x)-7=7(x)+5 | | 43=37+x | | 6/8x1/5 | | 7X-4Y+Z=12 |

Equations solver categories