x2+0.3x=0.02

Solution for x2+0.3x=0.02 equation:

x2+0.3x=0.02

We move all terms to the left:

x2+0.3x-(0.02)=0

We add all the numbers together, and all the variables

x^2+0.3x-0.02=0

a = 1; b = 0.3; c = -0.02;
Δ = b2-4ac
Δ = 0.32-4·1·(-0.02)
Δ = 0.17
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{-(0.3)-\sqrt{0.17}}{2*1}=\frac{-0.3-\sqrt{0.17}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.3)+\sqrt{0.17}}{2*1}=\frac{-0.3+\sqrt{0.17}}{2}
$