x+(20/100)x=1500

Solution for x+(20/100)x=1500 equation:

x+(20/100)x=1500

We move all terms to the left:

x+(20/100)x-(1500)=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+(+20/100)x-1500=0

We multiply parentheses

20x^2+x-1500=0

a = 20; b = 1; c = -1500;
Δ = b2-4ac
Δ = 12-4·20·(-1500)
Δ = 120001
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:

$\sqrt{\Delta}=\sqrt{120001}=\sqrt{49*2449}=\sqrt{49}*\sqrt{2449}=7\sqrt{2449}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-7\sqrt{2449}}{2*20}=\frac{-1-7\sqrt{2449}}{40}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+7\sqrt{2449}}{2*20}=\frac{-1+7\sqrt{2449}}{40}
$