(x^2-4x)/6-5x/3=1

Simple and best practice solution for (x^2-4x)/6-5x/3=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 (x^2-4x)/6-5x/3=1 equation:


x in (-oo:+oo)

(x^2-(4*x))/6-((5*x)/3) = 1 // - 1

(x^2-(4*x))/6-((5*x)/3)-1 = 0

(x^2-4*x)/6+(-5/3)*x-1 = 0

(x^2-4*x)/6+(-5*x)/3-1 = 0

(3*(x^2-4*x))/(3*6)+(-5*6*x)/(3*6)+(-1*3*6)/(3*6) = 0

3*(x^2-4*x)-5*6*x-1*3*6 = 0

3*x^2-42*x-18 = 0

3*x^2-42*x-18 = 0

3*(x^2-14*x-6) = 0

x^2-14*x-6 = 0

DELTA = (-14)^2-(-6*1*4)

DELTA = 220

DELTA > 0

x = (220^(1/2)+14)/(1*2) or x = (14-220^(1/2))/(1*2)

x = (2*55^(1/2)+14)/2 or x = (14-2*55^(1/2))/2

3*(x-((14-2*55^(1/2))/2))*(x-((2*55^(1/2)+14)/2)) = 0

(3*(x-((14-2*55^(1/2))/2))*(x-((2*55^(1/2)+14)/2)))/(3*6) = 0

(3*(x-((14-2*55^(1/2))/2))*(x-((2*55^(1/2)+14)/2)))/(3*6) = 0 // * 3*6

3*(x-((14-2*55^(1/2))/2))*(x-((2*55^(1/2)+14)/2)) = 0

( 3 )

3 = 0

x belongs to the empty set

( x-((14-2*55^(1/2))/2) )

x-((14-2*55^(1/2))/2) = 0 // + (14-2*55^(1/2))/2

x = (14-2*55^(1/2))/2

( x-((2*55^(1/2)+14)/2) )

x-((2*55^(1/2)+14)/2) = 0 // + (2*55^(1/2)+14)/2

x = (2*55^(1/2)+14)/2

x in { (14-2*55^(1/2))/2, (2*55^(1/2)+14)/2 }

See similar equations:

| F(5)=3x+6 | | x-12=4x+18 | | (X/10)-(2/15)=(3x-4)/20 | | 8/x=9/6 | | 12-4+2-5= | | x+11+2x+70=180 | | 7-5(3x-2)-6x=22 | | -7(v+6)-4(v-9)= | | 300+20n=150 | | 10(2n+4)-6(n-1)= | | x(12x-11)=0 | | 7x-(2x+2)=8x-38 | | Sqrt(8-p)-sqrt(p-5)=1 | | 24/x=3/.5 | | 6x-(2x+3)=5x-11 | | 7x/4-3/20=2x/5 | | 4+6n=4n+6 | | 1936=3w*w | | 5s+5e= | | 4t-1=29-t | | ax-b=2c | | 25=2w+4 | | -9z^3-2z^3= | | 9.99+0.25(x)=113.74 | | 2x+12=m | | 3+8=-12 | | 8t-3r=65 | | 2x(-8)=x-1/4 | | 6/24x350= | | 2x(-8)x-1/4 | | ?=6/24x350 | | 3x^2-5x+2=12 |

Equations solver categories