82x^2=46x

Solution for 82x^2=46x equation:

82x^2=46x

We move all terms to the left:

82x^2-(46x)=0

a = 82; b = -46; c = 0;
Δ = b2-4ac
Δ = -462-4·82·0
Δ = 2116
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2116}=46$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-46)-46}{2*82}=\frac{0}{164}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-46)+46}{2*82}=\frac{92}{164}
=23/41
$