7x^2-75x-108=0

Solution for 7x^2-75x-108=0 equation:

7x^2-75x-108=0

a = 7; b = -75; c = -108;
Δ = b2-4ac
Δ = -752-4·7·(-108)
Δ = 8649
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8649}=93$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-75)-93}{2*7}=\frac{-18}{14}
=-1+2/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75)+93}{2*7}=\frac{168}{14}
=12
$