(8x+56)(x+11)=0

Solution for (8x+56)(x+11)=0 equation:

(8x+56)(x+11)=0

We multiply parentheses ..

(+8x^2+88x+56x+616)=0

We get rid of parentheses

8x^2+88x+56x+616=0

We add all the numbers together, and all the variables

8x^2+144x+616=0

a = 8; b = 144; c = +616;
Δ = b2-4ac
Δ = 1442-4·8·616
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(144)-32}{2*8}=\frac{-176}{16}
=-11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(144)+32}{2*8}=\frac{-112}{16}
=-7
$