((x^2-2x-80)/(5x^3-2x^2))((X^3-x^2)/(2x-20))

Simple and best practice solution for ((x^2-2x-80)/(5x^3-2x^2))((X^3-x^2)/(2x-20)) 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 ((x^2-2x-80)/(5x^3-2x^2))((X^3-x^2)/(2x-20)) equation: 


D( x )

5*x^3-(2*x^2) = 0

2*x-20 = 0

5*x^3-(2*x^2) = 0

5*x^3-(2*x^2) = 0

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

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

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

5*x-2 = 0 // + 2

5*x = 2 // : 5

x = 2/5

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

2*x-20 = 0

2*x-20 = 0

2*x-20 = 0 // + 20

2*x = 20 // : 2

x = 20/2

x = 10

x in (-oo:0) U (0:2/5) U (2/5:10) U (10:+oo)

((x^2-(2*x)-80)/(5*x^3-(2*x^2)))*((X^3-x^2)/(2*x-20)) = 0

((x^2-2*x-80)/(5*x^3-2*x^2))*((X^3-x^2)/(2*x-20)) = 0

((x^2-2*x-80)*(X^3-x^2))/((5*x^3-2*x^2)*(2*x-20)) = 0

x^2-2*x-80 = 0

x^2-2*x-80 = 0

DELTA = (-2)^2-(-80*1*4)

DELTA = 324

DELTA > 0

x = (324^(1/2)+2)/(1*2) or x = (2-324^(1/2))/(1*2)

x = 10 or x = -8

(x+8)*(x-10) = 0

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

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

5*x-2 = 0 // + 2

5*x = 2 // : 5

x = 2/5

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

((x+8)*(x-10)*(X^3-x^2))/(x^2*(x-2/5)*(2*x-20)) = 0

( X^3-x^2 )

-1*x^2 = -X^3 // : -1

x^2 = X^3

x^2 = X^3 // ^ 1/2

abs(x) = X^(3/2)

x = X^(3/2) or x = -X^(3/2)

( x+8 )

x+8 = 0 // - 8

x = -8

( x-10 )

x-10 = 0 // + 10

x = 10

x in { 10} 

x in { X^(3/2), -X^(3/2), -8 }

See similar equations:

| 2[x]2-7x+8=0 | | 6x-9=59 | | (6x+2x-4)-(7x-3x+1)= | | 0=-16x^2+24x+6 | | 114-6x=10x+8 | | [x]2+5x=5 | | (4x+1)(2x-1)= | | 0=-16t^2+24x+6 | | 0=-7x+3y+5 | | x^2-27x-81=0 | | 12=3y-3+4y | | (3.125x+99/14)-(0.125x-19/7) | | (M^2)(m+3)=(m+2)(m-2) | | 41/7x95/6 | | 117=w/5+13 | | (31/8x+71/14)-(1/8x-25/7) | | 4x+4.32=6.48 | | 10(5g+2h+-3)+-4(3g+-4h+2)= | | d=p | | -7-6x=10x+21 | | 2q^2-17q-5=0 | | 2q^2-17-5=0 | | 5t+15=-5 | | 6(2-t)=2(9-2t) | | -7/11x=-21 | | 4(2x+6)=26+x | | -3=12n | | -y/8=5 | | -8(2a+-3b)+-5(6b+-4a)= | | 12=5r+7 | | 8X-7X=11 | | (-1/2*x^2)-x-2 |

Equations solver categories