4/7x+1/3x=57

Simple and best practice solution for 4/7x+1/3x=57 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 4/7x+1/3x=57 equation: 



4/7x+1/3x=57

We move all terms to the left:

4/7x+1/3x-(57)=0



Domain of the equation: 7x!=0

x!=0/7

x!=0

x∈R





Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R



We calculate fractions


12x/21x^2+7x/21x^2-57=0

We multiply all the terms by the denominator


12x+7x-57*21x^2=0

We add all the numbers together, and all the variables

19x-57*21x^2=0

Wy multiply elements

-1197x^2+19x=0

a = -1197; b = 19; c = 0;
Δ = b2-4ac
Δ = 192-4·(-1197)·0
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(19)-19}{2*-1197}=\frac{-38}{-2394}
=1/63
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(19)+19}{2*-1197}=\frac{0}{-2394}
=0
$

See similar equations:

| 7-3x/7=10 | | -2r+3=-8-2r | | 7y=5*2+2*2y | | k2-7k+10=0 | | 3x-12=2(x+8) | | 7^(1-x)=(1/49) | | 4x-8=x+X | | 2x+47=89 | | (-2)+(-5s)=0 | | t-5=-2t+10 | | -0.54x+0.24x=9.6 | | 4(x-9)=2x | | -2+9y=9y-1 | | 20/x+8=2x-6/39 | | s+(-5)=-3 | | 7/4w=49 | | 3x+8=2x–4 | | x=2.5*2.5*3.15 | | 3x+48=111 | | -7z=-5z-2z | | 3x-x/5=28 | | s-63=-70 | | g+3=3+g | | 7y=5*2=2*2y | | 4−2b= | | -9-5x+8x=x+3 | | x+(0.05x)=78464.75 | | 3+g=3+g | | g+3=g+3 | | 8(11-x)=152 | | 9x-1=5+7x | | 2(3)-5b=-19 |

Equations solver categories