(8000/20000*x)+(12000/20000*12x)=27

Solution for (8000/20000*x)+(12000/20000*12x)=27 equation:

(8000/20000x)+(12000/20000*12x)=27

We move all terms to the left:

(8000/20000x)+(12000/20000*12x)-(27)=0


Domain of the equation: 20000x)!=0

x!=0/1

x!=0

x∈R



Domain of the equation: 20000*12x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+8000/20000x)+(+12000/20000*12x)-27=0

We get rid of parentheses

8000/20000x+12000/20000*12x-27=0

We calculate fractions


1920000000x/4800000000x^2+240000000x/4800000000x^2-27=0

We multiply all the terms by the denominator


1920000000x+240000000x-27*4800000000x^2=0

We add all the numbers together, and all the variables

2160000000x-27*4800000000x^2=0

Wy multiply elements

-129600000000x^2+2160000000x=0

a = -129600000000; b = 2160000000; c = 0;
Δ = b2-4ac
Δ = 21600000002-4·(-129600000000)·0
Δ = 4665600000000000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4665600000000000000}=2160000000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2160000000)-2160000000}{2*-129600000000}=\frac{-4320000000}{-259200000000}
=1/60
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2160000000)+2160000000}{2*-129600000000}=\frac{0}{-259200000000}
=0
$