0.22x^2-1.132x-0.1802=0

Solution for 0.22x^2-1.132x-0.1802=0 equation:

0.22x^2-1.132x-0.1802=0

a = 0.22; b = -1.132; c = -0.1802;
Δ = b2-4ac
Δ = -1.1322-4·0.22·(-0.1802)
Δ = 1.44
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{-(-1.132)-\sqrt{1.44}}{2*0.22}=\frac{1.132-\sqrt{1.44}}{0.44}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.132)+\sqrt{1.44}}{2*0.22}=\frac{1.132+\sqrt{1.44}}{0.44}
$