18x^2=19x

Solution for 18x^2=19x equation:

18x^2=19x

We move all terms to the left:

18x^2-(19x)=0

a = 18; b = -19; c = 0;
Δ = b2-4ac
Δ = -192-4·18·0
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-19)-19}{2*18}=\frac{0}{36}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19)+19}{2*18}=\frac{38}{36}
=1+1/18
$