14x2-18x-14=0

Solution for 14x2-18x-14=0 equation:

14x^2-18x-14=0

a = 14; b = -18; c = -14;
Δ = b2-4ac
Δ = -182-4·14·(-14)
Δ = 1108
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:

$\sqrt{\Delta}=\sqrt{1108}=\sqrt{4*277}=\sqrt{4}*\sqrt{277}=2\sqrt{277}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-2\sqrt{277}}{2*14}=\frac{18-2\sqrt{277}}{28}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+2\sqrt{277}}{2*14}=\frac{18+2\sqrt{277}}{28}
$