x+(12/100)*x=32000

Solution for x+(12/100)*x=32000 equation:

x+(12/100)*x=32000

We move all terms to the left:

x+(12/100)*x-(32000)=0


Domain of the equation: 100)*x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

x+(+12/100)*x-32000=0

We multiply parentheses

12x^2+x-32000=0

a = 12; b = 1; c = -32000;
Δ = b2-4ac
Δ = 12-4·12·(-32000)
Δ = 1536001
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{1536001}}{2*12}=\frac{-1-\sqrt{1536001}}{24}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{1536001}}{2*12}=\frac{-1+\sqrt{1536001}}{24}
$