2x*x+6x-108=0

Solution for 2x*x+6x-108=0 equation:

2x*x+6x-108=0

We add all the numbers together, and all the variables

6x+2x*x-108=0

Wy multiply elements

2x^2+6x-108=0

a = 2; b = 6; c = -108;
Δ = b2-4ac
Δ = 62-4·2·(-108)
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-30}{2*2}=\frac{-36}{4}
=-9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+30}{2*2}=\frac{24}{4}
=6
$