X=-6x^2-18x

Solution for X=-6x^2-18x equation:

X=-6X^2-18X

We move all terms to the left:

X-(-6X^2-18X)=0

We get rid of parentheses

6X^2+18X+X=0

We add all the numbers together, and all the variables

6X^2+19X=0

a = 6; b = 19; c = 0;
Δ = b2-4ac
Δ = 192-4·6·0
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(19)-19}{2*6}=\frac{-38}{12}
=-3+1/6
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(19)+19}{2*6}=\frac{0}{12}
=0
$