((4p+1)/(8p-12))+((p-3)/(2p-3))=4

Simple and best practice solution for ((4p+1)/(8p-12))+((p-3)/(2p-3))=4 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 ((4p+1)/(8p-12))+((p-3)/(2p-3))=4 equation:


D( p )

2*p-3 = 0

8*p-12 = 0

2*p-3 = 0

2*p-3 = 0

2*p-3 = 0 // + 3

2*p = 3 // : 2

p = 3/2

8*p-12 = 0

8*p-12 = 0

8*p-12 = 0 // + 12

8*p = 12 // : 8

p = 12/8

p = 3/2

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

(4*p+1)/(8*p-12)+(p-3)/(2*p-3) = 4 // - 4

(4*p+1)/(8*p-12)+(p-3)/(2*p-3)-4 = 0

((4*p+1)*(2*p-3))/((8*p-12)*(2*p-3))+((p-3)*(8*p-12))/((8*p-12)*(2*p-3))+(-4*(8*p-12)*(2*p-3))/((8*p-12)*(2*p-3)) = 0

(4*p+1)*(2*p-3)+(p-3)*(8*p-12)-4*(8*p-12)*(2*p-3) = 0

16*p^2-64*p^2-46*p+192*p-144+33 = 0

146*p-48*p^2-111 = 0

146*p-48*p^2-111 = 0

146*p-48*p^2-111 = 0

DELTA = 146^2-(-111*(-48)*4)

DELTA = 4

DELTA > 0

p = (4^(1/2)-146)/(-48*2) or p = (-4^(1/2)-146)/(-48*2)

p = 3/2 or p = 37/24

(p-3/2)*(p-37/24) = 0

((p-3/2)*(p-37/24))/((8*p-12)*(2*p-3)) = 0

((p-3/2)*(p-37/24))/((8*p-12)*(2*p-3)) = 0 // * (8*p-12)*(2*p-3)

(p-3/2)*(p-37/24) = 0

( p-3/2 )

p-3/2 = 0 // + 3/2

p = 3/2

( p-37/24 )

p-37/24 = 0 // + 37/24

p = 37/24

p in { 3/2}

p = 37/24

See similar equations:

| (w/17)-3=4 | | 15y+14=2(y+6) | | 5(1/6x+22) | | 265=(h/14)+241 | | n/2+5=10 | | n/8+4+6 | | R=(10000)(0.5)(3.50) | | (b-667)/(-16)=-15 | | 1/3a-1/4=5/6a-3/2 | | -20-100= | | -6x^6-12x^5+288x^4= | | y^2-3y-x+3=0 | | (t/9)-212=-192 | | y-11=-5 | | y+3/8+2/5 | | 6(-6-2x)=-72 | | 5-2x-7x=-103 | | (w+383)/17=-2 | | z+6_4z=8 | | 4n-36=7n+35 | | 6f-6=4+8f | | k-3(6-k)=-14 | | k/12-42=-56 | | w+383/17=-2 | | 63-4f=-193 | | 8+3(5-b)=-10 | | 12c=5/9(f-32) | | -106=-98+a/8 | | 9+4x=7x+80 | | -4z/35-8z/25 | | 29=9/11x+11 | | 100=x(x+2) |

Equations solver categories