5x+2/3x+x=180

Simple and best practice solution for 5x+2/3x+x=180 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 5x+2/3x+x=180 equation:



5x+2/3x+x=180
We move all terms to the left:
5x+2/3x+x-(180)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
We add all the numbers together, and all the variables
6x+2/3x-180=0
We multiply all the terms by the denominator
6x*3x-180*3x+2=0
Wy multiply elements
18x^2-540x+2=0
a = 18; b = -540; c = +2;
Δ = b2-4ac
Δ = -5402-4·18·2
Δ = 291456
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{291456}=\sqrt{576*506}=\sqrt{576}*\sqrt{506}=24\sqrt{506}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-540)-24\sqrt{506}}{2*18}=\frac{540-24\sqrt{506}}{36} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-540)+24\sqrt{506}}{2*18}=\frac{540+24\sqrt{506}}{36} $

See similar equations:

| 15(x+1)=5(2x+1) | | 46=5v-14 | | -2+20y=180 | | 31=68(0.5)^t/8+14 | | 2.75x+15.25=23.50 | | 0.2/n+0.8=1.2 | | 8y-2+12y=180 | | 15.25x+2.75=23.50 | | 120+8x=7x | | 5/7(14/1x7/2-35)=10 | | 3/2+n/4=5/6-1/2 | | 7x+120=8x | | 3.4y=20 | | 2x+3+7x-3=90 | | 6x=15012 | | 63=-9s | | -9.5x+0.53=-3.27 | | 1/4/7=1/x | | 10(2x-3)-7(4x-6)=2-6x= | | 60=x/5 | | x−4=5(x+2) | | x-108=180 | | 0=-16t^2+38.4t+18 | | -6(8x-7)=-102 | | 120+7x=8x | | 4/x+5=11 | | x^2-x-12=0x2−x−12=0 | | 2y–8=16 | | 11x+-1=9x+21 | | -18x+17=3*(4-x) | | 80=6n+44 | | 25x+10=30 |

Equations solver categories