(y^3-5y^2)/(y^2+3y-40)=(-18y-80)/(y+8)

Simple and best practice solution for (y^3-5y^2)/(y^2+3y-40)=(-18y-80)/(y+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 (y^3-5y^2)/(y^2+3y-40)=(-18y-80)/(y+8) equation: 


D( y )

y+8 = 0

y^2+3*y-40 = 0

y+8 = 0

y+8 = 0

y+8 = 0 // - 8

y = -8

y^2+3*y-40 = 0

y^2+3*y-40 = 0

y^2+3*y-40 = 0

DELTA = 3^2-(-40*1*4)

DELTA = 169

DELTA > 0

y = (169^(1/2)-3)/(1*2) or y = (-169^(1/2)-3)/(1*2)

y = 5 or y = -8

y in (-oo:-8) U (-8:5) U (5:+oo)

(y^3-(5*y^2))/(y^2+3*y-40) = (-18*y-80)/(y+8) // - (-18*y-80)/(y+8)

(y^3-(5*y^2))/(y^2+3*y-40)-((-18*y-80)/(y+8)) = 0

(y^3-5*y^2)/(y^2+3*y-40)-((-18*y-80)/(y+8)) = 0

(y^3-5*y^2)/(y^2+3*y-40)+(-1*(-18*y-80))/(y+8) = 0

y^2+3*y-40 = 0

y^2+3*y-40 = 0

y^2+3*y-40 = 0

DELTA = 3^2-(-40*1*4)

DELTA = 169

DELTA > 0

y = (169^(1/2)-3)/(1*2) or y = (-169^(1/2)-3)/(1*2)

y = 5 or y = -8

(y+8)*(y-5) = 0

(y^3-5*y^2)/((y+8)*(y-5))+(-1*(-18*y-80))/(y+8) = 0

(y^3-5*y^2)/((y+8)*(y-5))+(-1*(-18*y-80)*(y-5))/((y+8)*(y-5)) = 0

y^3-1*(-18*y-80)*(y-5)-5*y^2 = 0

y^3+13*y^2-10*y-400 = 0

y^3+13*y^2-10*y-400 = 0

y^3+13*y^2-10*y-400 = 0

{ 1, -1, 2, -2, 4, -4, 5, -5, 8, -8, 10, -10, 16, -16, 20, -20, 25, -25, 40, -40, 50, -50, 80, -80, 100, -100, 200, -200, 400, -400 }

1

y = 1

y^3+13*y^2-10*y-400 = -396

1

-1

y = -1

y^3+13*y^2-10*y-400 = -378

-1

2

y = 2

y^3+13*y^2-10*y-400 = -360

2

-2

y = -2

y^3+13*y^2-10*y-400 = -336

-2

4

y = 4

y^3+13*y^2-10*y-400 = -168

4

-4

y = -4

y^3+13*y^2-10*y-400 = -216

-4

5

y = 5

y^3+13*y^2-10*y-400 = 0

5

y-5

y^2+18*y+80

y^3+13*y^2-10*y-400

y-5

5*y^2-y^3

18*y^2-10*y-400

90*y-18*y^2

80*y-400

400-80*y

0

y^2+18*y+80 = 0

DELTA = 18^2-(1*4*80)

DELTA = 4

DELTA > 0

y = (4^(1/2)-18)/(1*2) or y = (-4^(1/2)-18)/(1*2)

y = -8 or y = -10

y in { -10, -8, 5} 

(y+10)*(y+8)*(y-5) = 0

((y+10)*(y+8)*(y-5))/((y+8)*(y-5)) = 0

((y+10)*(y+8)*(y-5))/((y+8)*(y-5)) = 0 // * (y+8)*(y-5)

(y+10)*(y+8)*(y-5) = 0

( y+10 )

y+10 = 0 // - 10

y = -10

( y+8 )

y+8 = 0 // - 8

y = -8

( y-5 )

y-5 = 0 // + 5

y = 5

y in { -8} 

y in { 5} 

y = -10

See similar equations:

| c=y(cx+h) | | 12t-6=12-6t | | x(x-1)=7 | | 9x-2(x-3)=7x+2 | | -3+9(x-5)=13x+3-4x | | 7+8i/5+2i | | 0.5x-0.2(5-3x)=-.4(x-5) | | 05x-02(5-3x)=-.4(x-5) | | 6x/x-6=9+(7x^2/x-6) | | x+x+3x=85 | | 3n-4+2n+2=8+2n+2 | | 2x^2=21x-49 | | 13w+7w=10w | | 9x+x=200 | | 28=16-4a | | 6(x+4)+4-2x=4 | | x/2+6-x/6=19/2 | | 4+y/2=5y/8-2 | | =2y-5 | | (0.7x+5-8)2=46.31 | | 3(2x-6)+6(x-2)=-3(5-5x)+5x-5 | | 3(x+7)=9x | | .4x-.9(9-3x)=-.6(x-5) | | 5(a-8)+13=3(a-7) | | 5(a-8)+13=3(a+7) | | 2/3x-9=5/6x | | 5x-5=3x+43 | | 8x-(4x+4)=2x-34 | | 40-3x=-8x | | 9x+20=7-4x | | -4x=-48+2x | | 4(m-2)+2-2m=0 |

Equations solver categories