-9x(x+6)=-207

Solution for -9x(x+6)=-207 equation:

-9x(x+6)=-207

We move all terms to the left:

-9x(x+6)-(-207)=0

We add all the numbers together, and all the variables

-9x(x+6)+207=0

We multiply parentheses

-9x^2-54x+207=0

a = -9; b = -54; c = +207;
Δ = b2-4ac
Δ = -542-4·(-9)·207
Δ = 10368
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:

$\sqrt{\Delta}=\sqrt{10368}=\sqrt{5184*2}=\sqrt{5184}*\sqrt{2}=72\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-54)-72\sqrt{2}}{2*-9}=\frac{54-72\sqrt{2}}{-18}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-54)+72\sqrt{2}}{2*-9}=\frac{54+72\sqrt{2}}{-18}
$