0.0000175=x^2+0.0000175x

Solution for 0.0000175=x^2+0.0000175x equation:

0.0000175=x^2+0.0000175x

We move all terms to the left:

0.0000175-(x^2+0.0000175x)=0

We add all the numbers together, and all the variables

-(x^2+0.0000175x)-5+1.75E=0

We get rid of parentheses

-x^2-0.0000175x-5+1.75E=0

We add all the numbers together, and all the variables

-1x^2-5x-0.24300680019667-1.75E=0

We add all the numbers together, and all the variables

-1x^2-5x-5=0

a = -1; b = -5; c = -5;
Δ = b2-4ac
Δ = -52-4·(-1)·(-5)
Δ = 5
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{-(-5)-\sqrt{5}}{2*-1}=\frac{5-\sqrt{5}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{5}}{2*-1}=\frac{5+\sqrt{5}}{-2}
$