.15x^2-8x-150=0

Solution for .15x^2-8x-150=0 equation:

.15x^2-8x-150=0

a = .15; b = -8; c = -150;
Δ = b2-4ac
Δ = -82-4·.15·(-150)
Δ = 154
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-\sqrt{154}}{2*.15}=\frac{8-\sqrt{154}}{0.3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+\sqrt{154}}{2*.15}=\frac{8+\sqrt{154}}{0.3}
$