-.09x2+x+1.2=0

Solution for -.09x2+x+1.2=0 equation:

-.09x^2+x+1.2=0

We add all the numbers together, and all the variables

-0.09x^2+x+1.2=0

a = -0.09; b = 1; c = +1.2;
Δ = b2-4ac
Δ = 12-4·(-0.09)·1.2
Δ = 1.432
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)-\sqrt{1.432}}{2*-0.09}=\frac{-1-\sqrt{1.432}}{-0.18}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{1.432}}{2*-0.09}=\frac{-1+\sqrt{1.432}}{-0.18}
$