2x(x+1)-3(x+3)=104

Solution for 2x(x+1)-3(x+3)=104 equation:

2x(x+1)-3(x+3)=104

We move all terms to the left:

2x(x+1)-3(x+3)-(104)=0

We multiply parentheses

2x^2+2x-3x-9-104=0

We add all the numbers together, and all the variables

2x^2-1x-113=0

a = 2; b = -1; c = -113;
Δ = b2-4ac
Δ = -12-4·2·(-113)
Δ = 905
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{905}}{2*2}=\frac{1-\sqrt{905}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{905}}{2*2}=\frac{1+\sqrt{905}}{4}
$