((x-12)/(3-x))=((x+16)/(x+1))

Simple and best practice solution for ((x-12)/(3-x))=((x+16)/(x+1)) 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-12)/(3-x))=((x+16)/(x+1)) equation: 


D( x )

3-x = 0

x+1 = 0

3-x = 0

3-x = 0

3-x = 0 // - 3

-x = -3 // * -1

x = 3

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x in (-oo:-1) U (-1:3) U (3:+oo)

(x-12)/(3-x) = (x+16)/(x+1) // - (x+16)/(x+1)

(x-12)/(3-x)-((x+16)/(x+1)) = 0

(x-12)/(3-x)+(-1*(x+16))/(x+1) = 0

((x-12)*(x+1))/((3-x)*(x+1))+(-1*(x+16)*(3-x))/((3-x)*(x+1)) = 0

(x-12)*(x+1)-1*(x+16)*(3-x) = 0

2*x^2+2*x-60 = 0

2*x^2+2*x-60 = 0

2*(x^2+x-30) = 0

x^2+x-30 = 0

DELTA = 1^2-(-30*1*4)

DELTA = 121

DELTA > 0

x = (121^(1/2)-1)/(1*2) or x = (-121^(1/2)-1)/(1*2)

x = 5 or x = -6

2*(x+6)*(x-5) = 0

(2*(x+6)*(x-5))/((3-x)*(x+1)) = 0

(2*(x+6)*(x-5))/((3-x)*(x+1)) = 0 // * (3-x)*(x+1)

2*(x+6)*(x-5) = 0

( x+6 )

x+6 = 0 // - 6

x = -6

( x-5 )

x-5 = 0 // + 5

x = 5

x in { -6, 5 }

See similar equations:

| 5X-3X+2=0 | | 7x+4=2+39 | | ((x-1)/3)-((x-1)/2)=6 | | ((x-1)/2x)+((x+3)/4x)=5 | | 3.2x-9.62=3.5 | | ((x-1)/(x+2))-(1/x)=0 | | 2=p+11 | | ((x-1)/(2x-4))+((x-2)/(3x))=1 | | 72-6x=x^2 | | ((x-1)/(2x-4))+((x-2)/(3x))=0 | | ((X+b)/a)=1/a | | ((x+9)/18)=(1/9)+((x-4)/5) | | ((x+7)/(3))-((3x-7)/(4))=((x-1)/(2)) | | ((x+6)/(x-6))+1=(x+1)/(x-5) | | 6-6=10x+6x | | 0.14x+0.07(5000-x)=441 | | 12+r-2(r+1)=3 | | x=6+-2y | | x=6+-2y+x | | 40a^-1b^-7/20a^-5b^-9 | | 4/15=n/6 | | 6-(p^2/8)=-4 | | 211=157-v | | 5x-6y=6 | | 174+n=687 | | -2x+(1/x)=-2 | | 3x+b=3(2+x) | | -14.9=v/8-2.1 | | -4y+6=12-3y | | -1/5v-1/3=-3/2 | | 12y=-8x-32 | | P=c+4b+aforc |

Equations solver categories