((5x+5)/(3x-2))-((x-2)/(x-3))=((2x+6)/(x-3))

Simple and best practice solution for ((5x+5)/(3x-2))-((x-2)/(x-3))=((2x+6)/(x-3)) 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 ((5x+5)/(3x-2))-((x-2)/(x-3))=((2x+6)/(x-3)) equation: 


D( x )

x-3 = 0

3*x-2 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

3*x-2 = 0

3*x-2 = 0

3*x-2 = 0 // + 2

3*x = 2 // : 3

x = 2/3

x in (-oo:2/3) U (2/3:3) U (3:+oo)

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

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

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

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

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

2*x^2-6*x^2-2*x-14*x-19+12 = 0

-4*x^2-16*x-7 = 0

-4*x^2-16*x-7 = 0

-1*(4*x^2+16*x+7) = 0

4*x^2+16*x+7 = 0

DELTA = 16^2-(4*4*7)

DELTA = 144

DELTA > 0

x = (144^(1/2)-16)/(2*4) or x = (-144^(1/2)-16)/(2*4)

x = -1/2 or x = -7/2

-1*(x+7/2)*(x+1/2) = 0

(-1*(x+7/2)*(x+1/2))/((3*x-2)*(x-3)) = 0

(-1*(x+7/2)*(x+1/2))/((3*x-2)*(x-3)) = 0 // * (3*x-2)*(x-3)

-1*(x+7/2)*(x+1/2) = 0

( x+1/2 )

x+1/2 = 0 // - 1/2

x = -1/2

( x+7/2 )

x+7/2 = 0 // - 7/2

x = -7/2

x in { -1/2, -7/2 }

See similar equations:

| 24x+30-30x=0 | | 4-.67x=-6 | | ((5x+1)/2)-3=20 | | ((5x)/9)-11=-51 | | ((5x)/2)-4=(2x-7)/6 | | (n-26)-(n-25)=17n | | 2/3x120 | | ((5x)/2)-4=((2x-7)/6) | | ((5x)/(3-4))=16 | | ((5u-5)/2)=((7u-6)/3)+1 | | 8-1/3X=16 | | -81/3X=1 | | ((5/2y)+20)/(y-20)=3 | | ((5+6x)/(-2))=(4/9) | | ((5+3*X)/4)=4 | | 2y=8x+7 | | 3=6x+6 | | ((4x/x+3)-4)=((x-30/x-3)) | | ((4x-9)/(x))+((9x-8)/(7x))=y | | ((4x-5)/5)-(16-x)/12=x/17-18 | | ((4x+5)/7)+((3x-8)/4)=4 | | 5+2(y+4)=5(y-3)+10 | | ((4x+5)/4)-((5x)/x-3)-x=0 | | ((4X+3)/4)-((3x-3)/11)=-3 | | ((4x+3)/3)-((3x-2)/4)=5 | | -5X-10=110 | | 73-3x=10x+20 | | ((4x+10)/(4))-((5x)/(x-4))=(x) | | 3=-6-3x | | ((4x)/(x+1))=((4x-3)/(x-2)) | | ((4x)/(0.14-2x))=4.6 | | 228-2x=34x+20 |

Equations solver categories