15x^2-6=13x

Solution for 15x^2-6=13x equation:

15x^2-6=13x

We move all terms to the left:

15x^2-6-(13x)=0

a = 15; b = -13; c = -6;
Δ = b2-4ac
Δ = -132-4·15·(-6)
Δ = 529
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{529}=23$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-13)-23}{2*15}=\frac{-10}{30}
=-1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+23}{2*15}=\frac{36}{30}
=1+1/5
$