(X+8)(8x+3)=0

Solution for (X+8)(8x+3)=0 equation:

(X+8)(8X+3)=0

We multiply parentheses ..

(+8X^2+3X+64X+24)=0

We get rid of parentheses

8X^2+3X+64X+24=0

We add all the numbers together, and all the variables

8X^2+67X+24=0

a = 8; b = 67; c = +24;
Δ = b2-4ac
Δ = 672-4·8·24
Δ = 3721
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3721}=61$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(67)-61}{2*8}=\frac{-128}{16}
=-8
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(67)+61}{2*8}=\frac{-6}{16}
=-3/8
$