-16-6x=6x(x+3)

Solution for -16-6x=6x(x+3) equation:

-16-6x=6x(x+3)

We move all terms to the left:

-16-6x-(6x(x+3))=0


We calculate terms in parentheses: -(6x(x+3)), so:

6x(x+3)

We multiply parentheses

6x^2+18x

Back to the equation:

-(6x^2+18x)


We get rid of parentheses

-6x^2-6x-18x-16=0

We add all the numbers together, and all the variables

-6x^2-24x-16=0

a = -6; b = -24; c = -16;
Δ = b2-4ac
Δ = -242-4·(-6)·(-16)
Δ = 192
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:

$\sqrt{\Delta}=\sqrt{192}=\sqrt{64*3}=\sqrt{64}*\sqrt{3}=8\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-8\sqrt{3}}{2*-6}=\frac{24-8\sqrt{3}}{-12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+8\sqrt{3}}{2*-6}=\frac{24+8\sqrt{3}}{-12}
$