10*x^2-36x-144=0

Solution for 10*x^2-36x-144=0 equation:

10x^2-36x-144=0

a = 10; b = -36; c = -144;
Δ = b2-4ac
Δ = -362-4·10·(-144)
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-84}{2*10}=\frac{-48}{20}
=-2+2/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+84}{2*10}=\frac{120}{20}
=6
$