-9x(x+12)=-27

Solution for -9x(x+12)=-27 equation:

-9x(x+12)=-27

We move all terms to the left:

-9x(x+12)-(-27)=0

We add all the numbers together, and all the variables

-9x(x+12)+27=0

We multiply parentheses

-9x^2-108x+27=0

a = -9; b = -108; c = +27;
Δ = b2-4ac
Δ = -1082-4·(-9)·27
Δ = 12636
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{12636}=\sqrt{324*39}=\sqrt{324}*\sqrt{39}=18\sqrt{39}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-108)-18\sqrt{39}}{2*-9}=\frac{108-18\sqrt{39}}{-18}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-108)+18\sqrt{39}}{2*-9}=\frac{108+18\sqrt{39}}{-18}
$