(5/x)-(3/10)=(3/2x)-(7/4)

Simple and best practice solution for (5/x)-(3/10)=(3/2x)-(7/4) 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 (5/x)-(3/10)=(3/2x)-(7/4) equation: 


D( x )

x = 0

x = 0

x = 0

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

5/x-(3/10) = (3/2)*x-(7/4) // - (3/2)*x-(7/4)

5/x-((3/2)*x)-(3/10)+7/4 = 0

(-3/2)*x+5/x-3/10+7/4 = 0

5*x^-1-3/2*x^1+29/20*x^0 = 0

(29/20*x^1-3/2*x^2+5*x^0)/(x^1) = 0 // * x^2

x^1*(29/20*x^1-3/2*x^2+5*x^0) = 0

x^1

(-3/2)*x^2+(29/20)*x+5 = 0

(-3/2)*x^2+(29/20)*x+5 = 0

DELTA = (29/20)^2-(4*5*(-3/2))

DELTA = 12841/400

DELTA > 0

x = ((12841/400)^(1/2)-(29/20))/(2*(-3/2)) or x = (-(29/20)-(12841/400)^(1/2))/(2*(-3/2))

x = ((12841/400)^(1/2)-29/20)/(-3) or x = ((12841/400)^(1/2)+29/20)/3

x in { ((12841/400)^(1/2)-29/20)/(-3), ((12841/400)^(1/2)+29/20)/3} 

x in { ((12841/400)^(1/2)-29/20)/(-3), ((12841/400)^(1/2)+29/20)/3 }

See similar equations:

| 5y=-6x+20 | | S+10=30 | | 4+3y=2 | | 27y+6-7y=21+13y | | 4a+9=77 | | (x^2-8x+9)=0 | | (6c+6)(6c+6)=product | | x(2x+5)=-2 | | 4y-4=7y-16 | | ln(x)+ln(x+6)=4 | | x-1/5=3x-6/10 | | (6g-4h)(6g-4h)=product | | .20(6)+.05x=.10(12+x) | | 88+5x=63 | | .25=.375x+.3125x | | 4(7g+9h^2)=0 | | -5r^3(4r^2-2r-5)=product | | -12x-11=-21x+52 | | 4a-6a+25=7a-12+19 | | 3x/4=2x+4/8 | | z/4+22=-38 | | 3/5(7b-1)=(b-5) | | x^2+6-9=81 | | 3/4+r=12/3 | | (b+7)(b+7)=product | | -1/9t=7 | | -10=8+3x | | 4/5x+2/3=10 | | (1/y)+(1/28)=(1/21) | | 6/7y-3/7y=4/5+7/5 | | 4e^3x-12=20 | | 9x=2/9 |

Equations solver categories