(x+4)(x+6)=168

Solution for (x+4)(x+6)=168 equation:

(x+4)(x+6)=168

We move all terms to the left:

(x+4)(x+6)-(168)=0

We multiply parentheses ..

(+x^2+6x+4x+24)-168=0

We get rid of parentheses

x^2+6x+4x+24-168=0

We add all the numbers together, and all the variables

x^2+10x-144=0

a = 1; b = 10; c = -144;
Δ = b2-4ac
Δ = 102-4·1·(-144)
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-26}{2*1}=\frac{-36}{2}
=-18
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+26}{2*1}=\frac{16}{2}
=8
$