8=(x+6)14x

Solution for 8=(x+6)14x equation:

8=(x+6)14x

We move all terms to the left:

8-((x+6)14x)=0


We calculate terms in parentheses: -((x+6)14x), so:

(x+6)14x

We multiply parentheses

14x^2+84x

Back to the equation:

-(14x^2+84x)


We get rid of parentheses

-14x^2-84x+8=0

a = -14; b = -84; c = +8;
Δ = b2-4ac
Δ = -842-4·(-14)·8
Δ = 7504
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:

$\sqrt{\Delta}=\sqrt{7504}=\sqrt{16*469}=\sqrt{16}*\sqrt{469}=4\sqrt{469}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-84)-4\sqrt{469}}{2*-14}=\frac{84-4\sqrt{469}}{-28}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-84)+4\sqrt{469}}{2*-14}=\frac{84+4\sqrt{469}}{-28}
$