(3/2x-6)-(x+1)/x-3=4

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


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

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

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

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

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

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

3*x^2-2*x-12*x-8*x-6*x-2 = 0

3*x^2-14*x-8*x-6*x-2 = 0

3*x^2-22*x-6*x-2 = 0

3*x^2-28*x-2 = 0

3*x^2-28*x-2 = 0

3*x^2-28*x-2 = 0

DELTA = (-28)^2-(-2*3*4)

DELTA = 808

DELTA > 0

x = (808^(1/2)+28)/(2*3) or x = (28-808^(1/2))/(2*3)

x = (2*202^(1/2)+28)/6 or x = (28-2*202^(1/2))/6

(x-((28-2*202^(1/2))/6))*(x-((2*202^(1/2)+28)/6)) = 0

((x-((28-2*202^(1/2))/6))*(x-((2*202^(1/2)+28)/6)))/(2*x) = 0

((x-((28-2*202^(1/2))/6))*(x-((2*202^(1/2)+28)/6)))/(2*x) = 0 // * 2*x

(x-((28-2*202^(1/2))/6))*(x-((2*202^(1/2)+28)/6)) = 0

( x-((2*202^(1/2)+28)/6) )

x-((2*202^(1/2)+28)/6) = 0 // + (2*202^(1/2)+28)/6

x = (2*202^(1/2)+28)/6

( x-((28-2*202^(1/2))/6) )

x-((28-2*202^(1/2))/6) = 0 // + (28-2*202^(1/2))/6

x = (28-2*202^(1/2))/6

x in { (2*202^(1/2)+28)/6, (28-2*202^(1/2))/6 }

See similar equations:

| a^4-8a^2+11=0 | | (28/4)+3+(10-8)*5 | | 1/2(12x+6)+15 | | y/4+4.7=8.2 | | a^2-8a^2+12=0 | | 4(x+3)+3(x+4)= | | 3/2x-6-(x+1)/x-3=4 | | 3x+3y=4y | | 4f+(9+f)5-3= | | a^2-8a^2+11=0 | | -4(4-7p)=5+7p | | 4x-15=6x | | (2r-s)(3r+2s)= | | 24w=6w^2-12 | | x/-15-160=-32 | | f(x)=x^3-64 | | 2(3+x)+3(3+x)= | | (17-7)*6+2+56-8= | | (-1+2b)(-3)+13= | | 18=22-n/5 | | -7(-2+4x)=42 | | 5x+3=4x+18 | | 4x-2x+6=28 | | -2x^2-4x+9=0 | | (a+2b)(a-b)= | | 5(x+4)-(2+3x)= | | 503+y=642 | | 5k-10(k+4)= | | f(x)=(x^2+2500)(x^2-1600) | | 4x-2x-6=28 | | k/5+3=6 | | (-2)-2(-2)= |

Equations solver categories