x*x+0.017x=0.00006

Solution for x*x+0.017x=0.00006 equation:

x*x+0.017x=0.00006

We move all terms to the left:

x*x+0.017x-(0.00006)=0

We add all the numbers together, and all the variables

x*x+0.017x-(6.0E-5)=0

We add all the numbers together, and all the variables

0.017x+x*x-11.309690970754=0

Wy multiply elements

x^2+0.017x-11.309690970754=0

a = 1; b = 0.017; c = -11.309690970754;
Δ = b2-4ac
Δ = 0.0172-4·1·(-11.309690970754)
Δ = 45.239052883016
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{-(0.017)-\sqrt{45.239052883016}}{2*1}=\frac{-0.017-\sqrt{45.239052883016}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.017)+\sqrt{45.239052883016}}{2*1}=\frac{-0.017+\sqrt{45.239052883016}}{2}
$