4(x+1)(x+11)=924

Solution for 4(x+1)(x+11)=924 equation:

4(x+1)(x+11)=924

We move all terms to the left:

4(x+1)(x+11)-(924)=0

We multiply parentheses ..

4(+x^2+11x+x+11)-924=0

We multiply parentheses

4x^2+44x+4x+44-924=0

We add all the numbers together, and all the variables

4x^2+48x-880=0

a = 4; b = 48; c = -880;
Δ = b2-4ac
Δ = 482-4·4·(-880)
Δ = 16384
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16384}=128$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(48)-128}{2*4}=\frac{-176}{8}
=-22
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(48)+128}{2*4}=\frac{80}{8}
=10
$