x^2+1.80x=0.1425

Solution for x^2+1.80x=0.1425 equation:

x^2+1.80x=0.1425

We move all terms to the left:

x^2+1.80x-(0.1425)=0

We add all the numbers together, and all the variables

x^2+1.80x-0.1425=0

a = 1; b = 1.80; c = -0.1425;
Δ = b2-4ac
Δ = 1.802-4·1·(-0.1425)
Δ = 3.81
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{-(1.80)-\sqrt{3.81}}{2*1}=\frac{-1.8-\sqrt{3.81}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.80)+\sqrt{3.81}}{2*1}=\frac{-1.8+\sqrt{3.81}}{2}
$