X-3/2x-2=(1/6)-(1-x/3x-3)

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


x in (-oo:+oo)

X-((3/2)*x)-2 = (x/3)*x+1/6-1+3 // - (x/3)*x+1/6-1+3

X-((x/3)*x)-((3/2)*x)-(1/6)-3-2+1 = 0

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

X-1/3*x^2-3/2*x-25/6 = 0

DELTA = (-3/2)^2-(-1/3*4*(X-25/6))

DELTA = 4/3*(X-25/6)+9/4

4/3*(X-25/6)+9/4 = 0

(4/3*4*(X-25/6))/4+9/4 = 0

4/3*4*(X-25/6)+9 = 0

16/3*X-119/9 = 0

(16/3*X-119/9)/4 = 0

(16/3*X-119/9)/4 = 0 // * 4

16/3*X-119/9 = 0

16/3*X-119/9 = 0 // + 119/9

16/3*X = 119/9 // : 16/3

X = 119/9/16/3

X = 119/48

DELTA = 0 <=> t_1 = 119/48

x = 3/2/(-1/3*2) i X = 119/48

x = -9/4 i X = 119/48

( x = ((4/3*(X-25/6)+9/4)^(1/2)+3/2)/(-1/3*2) or x = (3/2-(4/3*(X-25/6)+9/4)^(1/2))/(-1/3*2) ) i X > 119/48

( x = -3/2*((4/3*(X-25/6)+9/4)^(1/2)+3/2) or x = -3/2*(3/2-(4/3*(X-25/6)+9/4)^(1/2)) ) i X > 119/48

X-119/48 > 0

X-119/48 > 0 // + 119/48

X > 119/48

x in { -9/4, -3/2*((4/3*(X-25/6)+9/4)^(1/2)+3/2), -3/2*(3/2-(4/3*(X-25/6)+9/4)^(1/2)) }

See similar equations:

| x=(3x+7)(-4x-6) | | -2-3(-2)=4 | | 3.5x+y=1131 | | n/60=5/100 | | 4(8-6)=-184 | | 0=3x^2-2x-15 | | 11/5a+5/2a=47/6 | | X-4=119 | | 116-7d=-3d+2d | | 50w-20z=100 | | 5x+78=350 | | z=10/9=2 | | 2d-d-d+3d-2d=15 | | (3.14)(3.5)^2(14)/4 | | -13c+11c=12 | | 3m+2m+3=18 | | 14j+8j+-2j-17j=-9 | | 3w+5z=15 | | 5x^3+x^2-6=0 | | 12v+11v+-13v=-20 | | 3m+2m+6x+5-2x= | | 3v-v-v=14 | | 45/4=-2n+9/2n | | 3x-1/4-4x-1/3=0 | | x+x-11+73=180 | | -16=-8+4(-4x-2) | | x+x+65+25=180 | | (243p^10)^3/5 | | -6=3/n | | 3/5m=-5 | | 6z-3z-7=2+3 | | 4-[2(m-3)-(m-9)]=3(m-2) |

Equations solver categories