100x2-10x-6=0

Solution for 100x2-10x-6=0 equation:

100x^2-10x-6=0

a = 100; b = -10; c = -6;
Δ = b2-4ac
Δ = -102-4·100·(-6)
Δ = 2500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2500}=50$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-50}{2*100}=\frac{-40}{200}
=-1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+50}{2*100}=\frac{60}{200}
=3/10
$