(7/(4w-8))+1=-(2/(w-2))

Simple and best practice solution for (7/(4w-8))+1=-(2/(w-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 (7/(4w-8))+1=-(2/(w-2)) equation:


D( w )

w-2 = 0

4*w-8 = 0

w-2 = 0

w-2 = 0

w-2 = 0 // + 2

w = 2

4*w-8 = 0

4*w-8 = 0

4*w-8 = 0 // + 8

4*w = 8 // : 4

w = 8/4

w = 2

w in (-oo:2) U (2:+oo)

7/(4*w-8)+1 = -(2/(w-2)) // + 2/(w-2)

7/(4*w-8)+2/(w-2)+1 = 0

(7*(w-2))/((4*w-8)*(w-2))+(2*(4*w-8))/((4*w-8)*(w-2))+(1*(4*w-8)*(w-2))/((4*w-8)*(w-2)) = 0

7*(w-2)+2*(4*w-8)+1*(4*w-8)*(w-2) = 0

4*w^2+15*w-16*w-30+16 = 0

4*w^2-w-14 = 0

4*w^2-w-14 = 0

4*w^2-w-14 = 0

DELTA = (-1)^2-(-14*4*4)

DELTA = 225

DELTA > 0

w = (225^(1/2)+1)/(2*4) or w = (1-225^(1/2))/(2*4)

w = 2 or w = -7/4

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

((w+7/4)*(w-2))/((4*w-8)*(w-2)) = 0

((w+7/4)*(w-2))/((4*w-8)*(w-2)) = 0 // * (4*w-8)*(w-2)

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

( w+7/4 )

w+7/4 = 0 // - 7/4

w = -7/4

( w-2 )

w-2 = 0 // + 2

w = 2

w in { 2}

w = -7/4

See similar equations:

| 7/4w-8 | | b^2-12=12 | | 3x+x=26404 | | m^2+15=0 | | q^2-22=-22 | | 24/7-8/7x10/3+8/21 | | 0.075=0.05/3-x | | X^2-49=14x | | 3w^3+7w^2+6w+14=0 | | x^3-484=0 | | 12-5x+2x= | | -10n+18=-8n-8 | | 8(4y-1)=6(5y) | | 8/u-1=-3 | | 78+(x-2)= | | 2t+12=0 | | 25x^2-2=2 | | x+3x+17=121 | | x(x+3)=2(x-3)+x | | 32z^2-12z=0 | | 5(x-4)=65/13 | | X^2-2=70 | | 3y+25= | | 25b^2-15b=0 | | 16+5y/8 | | 6y+50= | | r^4-625=0 | | 2(2y+1)+50= | | -2(x+3)=4x+11 | | (X-1)(x-6)=-2x | | 2+3n=4n | | 5y+10y= |

Equations solver categories