14x^2-6x-108=0

Solution for 14x^2-6x-108=0 equation:

14x^2-6x-108=0

a = 14; b = -6; c = -108;
Δ = b2-4ac
Δ = -62-4·14·(-108)
Δ = 6084
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6084}=78$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-78}{2*14}=\frac{-72}{28}
=-2+4/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+78}{2*14}=\frac{84}{28}
=3
$