1+7/x=8/x^2

Simple and best practice solution for 1+7/x=8/x^2 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 1+7/x=8/x^2 equation: 


D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

7/x+1 = 8/(x^2) // - 8/(x^2)

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

7/x-8*x^-2+1 = 0

7*x^-1-8*x^-2+1 = 0

t_1 = x^-1

7*t_1^1-8*t_1^2+1 = 0

7*t_1-8*t_1^2+1 = 0

DELTA = 7^2-(-8*1*4)

DELTA = 81

DELTA > 0

t_1 = (81^(1/2)-7)/(-8*2) or t_1 = (-81^(1/2)-7)/(-8*2)

t_1 = -1/8 or t_1 = 1

t_1 = -1/8

x^-1+1/8 = 0

1*x^-1 = -1/8 // : 1

x^-1 = -1/8

-1 < 0

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

1 = -1/8*x^1 // : -1/8

-8 = x^1

x = -8

t_1 = 1

x^-1-1 = 0

1*x^-1 = 1 // : 1

x^-1 = 1

-1 < 0

1/(x^1) = 1 // * x^1

1 = 1*x^1 // : 1

1 = x^1

x = 1

x in { -8, 1 }

See similar equations:

| 15x-10(5+10x/15)=-5 | | 9/10/34 | | K^2-3k=-2 | | 3+3/p=18/p | | 9x+11+11x-1=180 | | (-13y^9+15)-9y^9= | | 288-15x=8-5x | | 9x+1=11x-1 | | 5x-10x+2=x+2 | | r+4/r=-5 | | Y=-2*2+5 | | 32/24=27/x | | 1/2x-(x+1/5)=1/10(k+2) | | -3x+2=7x-26 | | 9n-(4n+8)= | | x=2-8(1) | | 3(2-8y)+2y=-16 | | -x-9=7x-45 | | 5g^2-37g+42= | | 7(2x+3)=2x+2(6x-5) | | 9n-(3n+5)= | | 20-11=9x+99 | | (-8y^5+4)-(13y^5-6)= | | 5e=10 | | 5[y-8]=3[y+24] | | (11a^3+6)-(-7a^3+12)= | | -13x+3=-5x-85 | | 1/2x+2=-10 | | a/5=15 | | 3[x-4]=18x | | -(16w+18x+19y)= | | y-0b=0.5(x+-3a) |

Equations solver categories