14(x2)=686

Solution for 14(x2)=686 equation:

14(x2)=686

We move all terms to the left:

14(x2)-(686)=0

We add all the numbers together, and all the variables

14x^2-686=0

a = 14; b = 0; c = -686;
Δ = b2-4ac
Δ = 02-4·14·(-686)
Δ = 38416
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{38416}=196$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-196}{2*14}=\frac{-196}{28}
=-7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+196}{2*14}=\frac{196}{28}
=7
$