-7/(4y-20)+1=-1/(y-5)

Simple and best practice solution for -7/(4y-20)+1=-1/(y-5) 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/(4y-20)+1=-1/(y-5) equation:


D( y )

4*y-20 = 0

y-5 = 0

4*y-20 = 0

4*y-20 = 0

4*y-20 = 0 // + 20

4*y = 20 // : 4

y = 20/4

y = 5

y-5 = 0

y-5 = 0

y-5 = 0 // + 5

y = 5

y in (-oo:5) U (5:+oo)

1-7/(4*y-20) = -1/(y-5) // + -1/(y-5)

1-7/(4*y-20)-(-1/(y-5)) = 0

(y-5)^-1-7/(4*y-20)+1 = 0

1/(y-5)-7/(4*y-20)+1 = 0

(-7*(y-5))/((4*y-20)*(y-5))+(4*y-20)/((4*y-20)*(y-5))+(1*(4*y-20)*(y-5))/((4*y-20)*(y-5)) = 0

1*(4*y-20)*(y-5)-7*(y-5)+4*y-20 = 0

4*y^2-3*y-40*y+15+100 = 0

4*y^2-43*y+115 = 0

4*y^2-43*y+115 = 0

4*y^2-43*y+115 = 0

DELTA = (-43)^2-(4*4*115)

DELTA = 9

DELTA > 0

y = (9^(1/2)+43)/(2*4) or y = (43-9^(1/2))/(2*4)

y = 23/4 or y = 5

(y-5)*(y-23/4) = 0

((y-5)*(y-23/4))/((4*y-20)*(y-5)) = 0

((y-5)*(y-23/4))/((4*y-20)*(y-5)) = 0 // * (4*y-20)*(y-5)

(y-5)*(y-23/4) = 0

( y-23/4 )

y-23/4 = 0 // + 23/4

y = 23/4

( y-5 )

y-5 = 0 // + 5

y = 5

y in { 5}

y = 23/4

See similar equations:

| -8(x+13)=-16 | | 4ln(x-7)=-8 | | 3x(x+5)-2(x+2)=20 | | 14(x+12)=70 | | v+3/v+4=v-1/v+7+1 | | -15(x-6)=-75 | | -11(x-7)=-88 | | -2[8-5(2-3x)-7x]=4(x-abs-9) | | 13(x+16)=52 | | 10+5x=58-x | | -12(x+9)=60 | | 2x(34-4x)= | | -9(x-6)=81 | | 7n^2+117n-1350=0 | | 5y^2-23y-10=0 | | 16(x-4)=80 | | 90-5x=10x-15 | | 2lx-1l=14 | | 56=(236-x)/2 | | 94=(274-x)/2 | | 72=(x-108)/2 | | 30=(210-x)/2 | | 6x-2=10x-22 | | 134=(226-x)/2 | | 60=(x-120)/2 | | 15x^6-11x^3+2=0 | | 40=(x-140)/2 | | A/4+1/3=5/6 | | 5x-3=7x-13 | | 74=(254-x)/2 | | (9x+10)+(3x-4)=66 | | 1/2x-1/3x=5/6 |

Equations solver categories