(4x-5)/(1-2x)=(x-8)/(x+4)

Simple and best practice solution for (4x-5)/(1-2x)=(x-8)/(x+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 (4x-5)/(1-2x)=(x-8)/(x+4) equation: 


D( x )

x+4 = 0

1-(2*x) = 0

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

1-(2*x) = 0

1-(2*x) = 0

1-2*x = 0

1-2*x = 0 // - 1

-2*x = -1 // : -2

x = -1/(-2)

x = 1/2

x in (-oo:-4) U (-4:1/2) U (1/2:+oo)

(4*x-5)/(1-(2*x)) = (x-8)/(x+4) // - (x-8)/(x+4)

(4*x-5)/(1-(2*x))-((x-8)/(x+4)) = 0

(4*x-5)/(1-2*x)-((x-8)/(x+4)) = 0

(4*x-5)/(1-2*x)+(-1*(x-8))/(x+4) = 0

((4*x-5)*(x+4))/((1-2*x)*(x+4))+(-1*(x-8)*(1-2*x))/((1-2*x)*(x+4)) = 0

(4*x-5)*(x+4)-1*(x-8)*(1-2*x) = 0

6*x^2-6*x-12 = 0

6*x^2-6*x-12 = 0

6*(x^2-x-2) = 0

x^2-x-2 = 0

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

DELTA = 9

DELTA > 0

x = (9^(1/2)+1)/(1*2) or x = (1-9^(1/2))/(1*2)

x = 2 or x = -1

6*(x+1)*(x-2) = 0

(6*(x+1)*(x-2))/((1-2*x)*(x+4)) = 0

(6*(x+1)*(x-2))/((1-2*x)*(x+4)) = 0 // * (1-2*x)*(x+4)

6*(x+1)*(x-2) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-2 )

x-2 = 0 // + 2

x = 2

x in { -1, 2 }

See similar equations:

| -38=n+43 | | 4x+4(3x-9)=156 | | (3c-5)(-4)= | | (2/3)(15-4y)=(5/6)(3y+12) | | 2x^2+13x+42=0 | | 2x+6=50+6x | | 1/2+n=9/10 | | 2800+.14x=.18x(2520) | | (7x-6)/(8x-9)=(x-6)/(x-8) | | 7x+7(2x-11)=49 | | 3[2+5(3-x)+2x]=4-2x | | 7x-6/8x-9=x-6/x-8 | | -2/9n=-1/6 | | 10(x-26)=9x-15 | | 2[y-(3y-5)]=y-2 | | -3x+30=22-x | | 6x+5+4x-32=3 | | (3x-2/4)-3x=8 | | 2x+5(2x+14)=178 | | 2x^2-19x-10=0 | | (2/9)x-(5/6)=(1/12)x | | (3x*7)=1*21 | | -94=-5x+4(6x+24) | | 10x+6=12+4x | | 3x-2/4-3x=8 | | m/-1.5=23.14 | | -54=6x+4(-3x-3) | | 4x+4(3x-7)=68 | | -32+8/7(3w-1) | | 9x-55=3x+55 | | 7n-(6-2n)=21 | | (8-2a)=(3a+3)-(5a-5) |

Equations solver categories