20x2=45x

Solution for 20x2=45x equation:

20x^2=45x

We move all terms to the left:

20x^2-(45x)=0

a = 20; b = -45; c = 0;
Δ = b2-4ac
Δ = -452-4·20·0
Δ = 2025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2025}=45$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-45)-45}{2*20}=\frac{0}{40}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-45)+45}{2*20}=\frac{90}{40}
=2+1/4
$