9a^2-45a=9a

Solution for 9a^2-45a=9a equation:

9a^2-45a=9a

We move all terms to the left:

9a^2-45a-(9a)=0

We add all the numbers together, and all the variables

9a^2-54a=0

a = 9; b = -54; c = 0;
Δ = b2-4ac
Δ = -542-4·9·0
Δ = 2916
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2916}=54$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-54)-54}{2*9}=\frac{0}{18}
=0
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-54)+54}{2*9}=\frac{108}{18}
=6
$