x*(23/100)=90000

Solution for x*(23/100)=90000 equation:

x(23/100)=90000

We move all terms to the left:

x(23/100)-(90000)=0

We add all the numbers together, and all the variables

x(+23/100)-90000=0

We multiply parentheses

23x^2-90000=0

a = 23; b = 0; c = -90000;
Δ = b2-4ac
Δ = 02-4·23·(-90000)
Δ = 8280000
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:

$\sqrt{\Delta}=\sqrt{8280000}=\sqrt{360000*23}=\sqrt{360000}*\sqrt{23}=600\sqrt{23}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-600\sqrt{23}}{2*23}=\frac{0-600\sqrt{23}}{46}
=-\frac{600\sqrt{23}}{46}
=-\frac{300\sqrt{23}}{23}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+600\sqrt{23}}{2*23}=\frac{0+600\sqrt{23}}{46}
=\frac{600\sqrt{23}}{46}
=\frac{300\sqrt{23}}{23}
$