10x-5/(2x-3)

Simple and best practice solution for 10x-5/(2x-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 10x-5/(2x-3) equation: 


D( x )

2*x-3 = 0

2*x-3 = 0

2*x-3 = 0

2*x-3 = 0 // + 3

2*x = 3 // : 2

x = 3/2

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

10*x-(5/(2*x-3)) = 0

10*x-5*(2*x-3)^-1 = 0

10*x-5/(2*x-3) = 0

(10*x*(2*x-3))/(2*x-3)-5/(2*x-3) = 0

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

20*x^2-30*x-5 = 0

20*x^2-30*x-5 = 0

5*(4*x^2-6*x-1) = 0

4*x^2-6*x-1 = 0

DELTA = (-6)^2-(-1*4*4)

DELTA = 52

DELTA > 0

x = (52^(1/2)+6)/(2*4) or x = (6-52^(1/2))/(2*4)

x = (2*13^(1/2)+6)/8 or x = (6-2*13^(1/2))/8

5*(x-((6-2*13^(1/2))/8))*(x-((2*13^(1/2)+6)/8)) = 0

(5*(x-((6-2*13^(1/2))/8))*(x-((2*13^(1/2)+6)/8)))/(2*x-3) = 0

(5*(x-((6-2*13^(1/2))/8))*(x-((2*13^(1/2)+6)/8)))/(2*x-3) = 0 // * 2*x-3

5*(x-((6-2*13^(1/2))/8))*(x-((2*13^(1/2)+6)/8)) = 0

( 5 )

5 = 0

x belongs to the empty set

( x-((2*13^(1/2)+6)/8) )

x-((2*13^(1/2)+6)/8) = 0 // + (2*13^(1/2)+6)/8

x = (2*13^(1/2)+6)/8

( x-((6-2*13^(1/2))/8) )

x-((6-2*13^(1/2))/8) = 0 // + (6-2*13^(1/2))/8

x = (6-2*13^(1/2))/8

x in { (2*13^(1/2)+6)/8, (6-2*13^(1/2))/8 }

See similar equations:

| 13x-28=7x-4 | | k+8=k+2 | | -24+3[4y+2(5y-8)]-9y=0 | | Y=x^2+2x+60 | | y^2+5y+c=0 | | 20=u/3-15 | | 4x-25=9 | | 3x+6+2x-1+90= | | Y=33x+16 | | 3abx-7ba= | | 3-2x=4x-5 | | 23abx-5ba= | | 7x-8=x-44 | | log[2](3x-5)=3 | | lod[2](3x-5)=3 | | 10n=2n+9n+7 | | 9/10-3/10 | | -7(-6+3)=-21 | | X^2+(x+2)=22 | | -193-24x=-19+82 | | 2(9-7x)=-122 | | -1=r-8 | | 21+54= | | -1+4x=-2x-7 | | 1+3*4*4= | | 23123=64671287958569871326 | | B-11=4 | | -2(4s-1)-2=-2(7s+8)-3 | | -109+27=131+22x | | 6(5+3x)=-6 | | 9.5*2=2n-23 | | 6x^2-12x-11=7 |

Equations solver categories