(15/100)*x=100000000

Solution for (15/100)*x=100000000 equation:

(15/100)*x=100000000

We move all terms to the left:

(15/100)*x-(100000000)=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

(+15/100)*x-100000000=0

We multiply parentheses

15x^2-100000000=0

a = 15; b = 0; c = -100000000;
Δ = b2-4ac
Δ = 02-4·15·(-100000000)
Δ = 6000000000
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:

$\sqrt{\Delta}=\sqrt{6000000000}=\sqrt{400000000*15}=\sqrt{400000000}*\sqrt{15}=20000\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20000\sqrt{15}}{2*15}=\frac{0-20000\sqrt{15}}{30}
=-\frac{20000\sqrt{15}}{30}
=-\frac{2000\sqrt{15}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20000\sqrt{15}}{2*15}=\frac{0+20000\sqrt{15}}{30}
=\frac{20000\sqrt{15}}{30}
=\frac{2000\sqrt{15}}{3}
$