x*0.05x=17775

Solution for x*0.05x=17775 equation:

x*0.05x=17775

We move all terms to the left:

x*0.05x-(17775)=0

Wy multiply elements

0x^2-17775=0

We add all the numbers together, and all the variables

x^2-17775=0

a = 1; b = 0; c = -17775;
Δ = b2-4ac
Δ = 02-4·1·(-17775)
Δ = 71100
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:

$\sqrt{\Delta}=\sqrt{71100}=\sqrt{900*79}=\sqrt{900}*\sqrt{79}=30\sqrt{79}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30\sqrt{79}}{2*1}=\frac{0-30\sqrt{79}}{2}
=-\frac{30\sqrt{79}}{2}
=-15\sqrt{79}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30\sqrt{79}}{2*1}=\frac{0+30\sqrt{79}}{2}
=\frac{30\sqrt{79}}{2}
=15\sqrt{79}
$