7/w+4=-5/(4w+16)+1

Simple and best practice solution for 7/w+4=-5/(4w+16)+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 7/w+4=-5/(4w+16)+1 equation:


D( w )

4*w+16 = 0

w = 0

4*w+16 = 0

4*w+16 = 0

4*w+16 = 0 // - 16

4*w = -16 // : 4

w = -16/4

w = -4

w = 0

w = 0

w in (-oo:-4) U (-4:0) U (0:+oo)

7/w+4 = 1-5/(4*w+16) // - 1-5/(4*w+16)

7/w-(-5/(4*w+16))-1+4 = 0

5*(4*w+16)^-1+7/w-1+4 = 0

5/(4*w+16)+7/w-1+4 = 0

(5*w)/(w*(4*w+16))+(7*(4*w+16))/(w*(4*w+16))+(-1*w*(4*w+16))/(w*(4*w+16))+(4*w*(4*w+16))/(w*(4*w+16)) = 0

7*(4*w+16)-1*w*(4*w+16)+4*w*(4*w+16)+5*w = 0

16*w^2-4*w^2+33*w-16*w+64*w+112 = 0

16*w^2-4*w^2+17*w+64*w+112 = 0

12*w^2+81*w+112 = 0

12*w^2+81*w+112 = 0

12*w^2+81*w+112 = 0

DELTA = 81^2-(4*12*112)

DELTA = 1185

DELTA > 0

w = (1185^(1/2)-81)/(2*12) or w = (-1185^(1/2)-81)/(2*12)

w = (1185^(1/2)-81)/24 or w = (-(1185^(1/2)+81))/24

(w+(1185^(1/2)+81)/24)*(w-((1185^(1/2)-81)/24)) = 0

((w+(1185^(1/2)+81)/24)*(w-((1185^(1/2)-81)/24)))/(w*(4*w+16)) = 0

((w+(1185^(1/2)+81)/24)*(w-((1185^(1/2)-81)/24)))/(w*(4*w+16)) = 0 // * w*(4*w+16)

(w+(1185^(1/2)+81)/24)*(w-((1185^(1/2)-81)/24)) = 0

( w+(1185^(1/2)+81)/24 )

w+(1185^(1/2)+81)/24 = 0 // - (1185^(1/2)+81)/24

w = -((1185^(1/2)+81)/24)

( w-((1185^(1/2)-81)/24) )

w-((1185^(1/2)-81)/24) = 0 // + (1185^(1/2)-81)/24

w = (1185^(1/2)-81)/24

w in { -((1185^(1/2)+81)/24), (1185^(1/2)-81)/24 }

See similar equations:

| x+2y-z=7 | | x+3-2x/3 | | 5q+2q=15-9 | | 2x^3-3x-x^3+1/2x | | x-1/6=x/3 | | (5x+3)(7x-3)= | | (z^3/-2x^2)2 | | 0=5t^2+20t+3 | | -6=-2/u | | 8x^2+4y^2=204 | | 3-18=5a | | (5w+9)(7-w)=0 | | 30k^2+198k-336= | | 14x^2-146x+180= | | 3w^2=-7w-2 | | 5p^2+21p-20= | | 7m-3m=3 | | -18p^4+3p^3+24p-18= | | 20+4x=2x-10 | | -16-b=-45 | | x/6=-9 | | 3x^2+33x-12x-132= | | 8+4=210 | | 7m-3form=3 | | 4x/4=96 | | (n/-7)-8=-2 | | log[5](x+4)+log[5](x+3)=log[5]20 | | 9+2/2x=81 | | W(6w+1)=2 | | W^2+w=2 | | 20y+2x=14 | | 20x+2y=14 |

Equations solver categories