169=(x+8)(x+6)

Solution for 169=(x+8)(x+6) equation:

169=(x+8)(x+6)

We move all terms to the left:

169-((x+8)(x+6))=0

We multiply parentheses ..

-((+x^2+6x+8x+48))+169=0


We calculate terms in parentheses: -((+x^2+6x+8x+48)), so:

(+x^2+6x+8x+48)

We get rid of parentheses

x^2+6x+8x+48

We add all the numbers together, and all the variables

x^2+14x+48

Back to the equation:

-(x^2+14x+48)


We get rid of parentheses

-x^2-14x-48+169=0

We add all the numbers together, and all the variables

-1x^2-14x+121=0

a = -1; b = -14; c = +121;
Δ = b2-4ac
Δ = -142-4·(-1)·121
Δ = 680
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{680}=\sqrt{4*170}=\sqrt{4}*\sqrt{170}=2\sqrt{170}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-2\sqrt{170}}{2*-1}=\frac{14-2\sqrt{170}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+2\sqrt{170}}{2*-1}=\frac{14+2\sqrt{170}}{-2}
$