(X+8)(2x+18)=0

Solution for (X+8)(2x+18)=0 equation:

(X+8)(2X+18)=0

We multiply parentheses ..

(+2X^2+18X+16X+144)=0

We get rid of parentheses

2X^2+18X+16X+144=0

We add all the numbers together, and all the variables

2X^2+34X+144=0

a = 2; b = 34; c = +144;
Δ = b2-4ac
Δ = 342-4·2·144
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(34)-2}{2*2}=\frac{-36}{4}
=-9
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(34)+2}{2*2}=\frac{-32}{4}
=-8
$