5x2-x=18x

Solution for 5x2-x=18x equation:

5x^2-x=18x

We move all terms to the left:

5x^2-x-(18x)=0

We add all the numbers together, and all the variables

5x^2-19x=0

a = 5; b = -19; c = 0;
Δ = b2-4ac
Δ = -192-4·5·0
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*5}=\frac{0}{10}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19)+19}{2*5}=\frac{38}{10}
=3+4/5
$