6x*19,5x=225

Solution for 6x*19,5x=225 equation:

6x*19.5x=225

We move all terms to the left:

6x*19.5x-(225)=0

Wy multiply elements

114x^2-225=0

a = 114; b = 0; c = -225;
Δ = b2-4ac
Δ = 02-4·114·(-225)
Δ = 102600
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:

$\sqrt{\Delta}=\sqrt{102600}=\sqrt{900*114}=\sqrt{900}*\sqrt{114}=30\sqrt{114}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30\sqrt{114}}{2*114}=\frac{0-30\sqrt{114}}{228}
=-\frac{30\sqrt{114}}{228}
=-\frac{5\sqrt{114}}{38}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30\sqrt{114}}{2*114}=\frac{0+30\sqrt{114}}{228}
=\frac{30\sqrt{114}}{228}
=\frac{5\sqrt{114}}{38}
$