0.6x^2-14x-180=0

Solution for 0.6x^2-14x-180=0 equation:

0.6x^2-14x-180=0

a = 0.6; b = -14; c = -180;
Δ = b2-4ac
Δ = -142-4·0.6·(-180)
Δ = 628
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{628}=\sqrt{4*157}=\sqrt{4}*\sqrt{157}=2\sqrt{157}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-2\sqrt{157}}{2*0.6}=\frac{14-2\sqrt{157}}{1.2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+2\sqrt{157}}{2*0.6}=\frac{14+2\sqrt{157}}{1.2}
$