7x2-32x-60=0

Solution for 7x2-32x-60=0 equation:

7x^2-32x-60=0

a = 7; b = -32; c = -60;
Δ = b2-4ac
Δ = -322-4·7·(-60)
Δ = 2704
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2704}=52$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-32)-52}{2*7}=\frac{-20}{14}
=-1+3/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+52}{2*7}=\frac{84}{14}
=6
$