10x^2+176x-72=0

Solution for 10x^2+176x-72=0 equation:

10x^2+176x-72=0

a = 10; b = 176; c = -72;
Δ = b2-4ac
Δ = 1762-4·10·(-72)
Δ = 33856
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{33856}=184$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(176)-184}{2*10}=\frac{-360}{20}
=-18
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(176)+184}{2*10}=\frac{8}{20}
=2/5
$