x*0,5x=5952

Solution for x*0,5x=5952 equation:

x*0.5x=5952

We move all terms to the left:

x*0.5x-(5952)=0

Wy multiply elements

0x^2-5952=0

We add all the numbers together, and all the variables

x^2-5952=0

a = 1; b = 0; c = -5952;
Δ = b2-4ac
Δ = 02-4·1·(-5952)
Δ = 23808
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:

$\sqrt{\Delta}=\sqrt{23808}=\sqrt{256*93}=\sqrt{256}*\sqrt{93}=16\sqrt{93}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{93}}{2*1}=\frac{0-16\sqrt{93}}{2}
=-\frac{16\sqrt{93}}{2}
=-8\sqrt{93}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{93}}{2*1}=\frac{0+16\sqrt{93}}{2}
=\frac{16\sqrt{93}}{2}
=8\sqrt{93}
$