2x-7=4/(2x-7)

Simple and best practice solution for 2x-7=4/(2x-7) 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 2x-7=4/(2x-7) equation:


D( x )

2*x-7 = 0

2*x-7 = 0

2*x-7 = 0

2*x-7 = 0 // + 7

2*x = 7 // : 2

x = 7/2

x in (-oo:7/2) U (7/2:+oo)

2*x-7 = 4/(2*x-7) // - 4/(2*x-7)

2*x-(4/(2*x-7))-7 = 0

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

2*x-4/(2*x-7)-7 = 0

(2*x*(2*x-7))/(2*x-7)-4/(2*x-7)+(-7*(2*x-7))/(2*x-7) = 0

2*x*(2*x-7)-7*(2*x-7)-4 = 0

4*x^2-14*x-14*x-4+49 = 0

4*x^2-28*x+45 = 0

4*x^2-28*x+45 = 0

4*x^2-28*x+45 = 0

DELTA = (-28)^2-(4*4*45)

DELTA = 64

DELTA > 0

x = (64^(1/2)+28)/(2*4) or x = (28-64^(1/2))/(2*4)

x = 9/2 or x = 5/2

(x-5/2)*(x-9/2) = 0

((x-5/2)*(x-9/2))/(2*x-7) = 0

((x-5/2)*(x-9/2))/(2*x-7) = 0 // * 2*x-7

(x-5/2)*(x-9/2) = 0

( x-5/2 )

x-5/2 = 0 // + 5/2

x = 5/2

( x-9/2 )

x-9/2 = 0 // + 9/2

x = 9/2

x in { 5/2, 9/2 }

See similar equations:

| 21=17+z/2 | | x(2*2-5)=3 | | 6x/2=4 | | x(2*7-5)=3 | | 3=2x-16 | | w+14=22 | | x(2*9.5-5)=3 | | x(2*3.5-5)=3 | | X(2x+5)=12 | | (6/m+5)+7/m=((3m+5)/(m^2+5m)) | | 52-8x=12x | | 5t+8t=117 | | 8(3-x)-5=-3(3-2x) | | x/14=-27 | | 15-2h=6 | | 5.7q-2.5-5.3q=-0.6q-2.6 | | 4x-18=5+5 | | 5/4x-4/3y=-5/6 | | 2/3x+3/4y=1 | | 1/2x-y=-1/1 | | 5/2x/1/3y=1 | | 5.8q-4.4-5.3q=0.5q-4.1 | | 5.9q-4.4-5.3q=0.5q-4.1 | | 40x+10=2 | | 40x+5=2 | | Y=ln(x^2-4x)+4 | | -0.4x-0.4y=0 | | 40x+6=4 | | -x(-4)-7= | | 40x+6=3 | | -x(-7)-7= | | 40x+6=2 |

Equations solver categories