-9a(a-3)=-3

Solution for -9a(a-3)=-3 equation:

-9a(a-3)=-3

We move all terms to the left:

-9a(a-3)-(-3)=0

We add all the numbers together, and all the variables

-9a(a-3)+3=0

We multiply parentheses

-9a^2+27a+3=0

a = -9; b = 27; c = +3;
Δ = b2-4ac
Δ = 272-4·(-9)·3
Δ = 837
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{837}=\sqrt{9*93}=\sqrt{9}*\sqrt{93}=3\sqrt{93}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(27)-3\sqrt{93}}{2*-9}=\frac{-27-3\sqrt{93}}{-18}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(27)+3\sqrt{93}}{2*-9}=\frac{-27+3\sqrt{93}}{-18}
$