6x^2+36x+54=06

Solution for 6x^2+36x+54=06 equation:

6x^2+36x+54=06

We move all terms to the left:

6x^2+36x+54-(06)=0

We add all the numbers together, and all the variables

6x^2+36x+48=0

a = 6; b = 36; c = +48;
Δ = b2-4ac
Δ = 362-4·6·48
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(36)-12}{2*6}=\frac{-48}{12}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+12}{2*6}=\frac{-24}{12}
=-2
$