10.x2=6x=5=0

Solution for 10.x2=6x=5=0 equation:

10.x^2=6x=5=0

We move all terms to the left:

10.x^2-(6x)=0

a = 10.; b = -6; c = 0;
Δ = b2-4ac
Δ = -62-4·10.·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6}{2*10.}=\frac{0}{20}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6}{2*10.}=\frac{12}{20}
=3/5
$