x^2-0.0000000345x=0.0000000364

Solution for x^2-0.0000000345x=0.0000000364 equation:

x^2-0.0000000345x=0.0000000364

We move all terms to the left:

x^2-0.0000000345x-(0.0000000364)=0

We add all the numbers together, and all the variables

x^2-0.0000000345x-(3.64E-8)=0

We add all the numbers together, and all the variables

x^2-8x-1.8945458555909-3.45E=0

We add all the numbers together, and all the variables

x^2-8x-11.272618163775=0

a = 1; b = -8; c = -11.272618163775;
Δ = b2-4ac
Δ = -82-4·1·(-11.272618163775)
Δ = 109.0904726551
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{-(-8)-\sqrt{109.0904726551}}{2*1}=\frac{8-\sqrt{109.0904726551}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+\sqrt{109.0904726551}}{2*1}=\frac{8+\sqrt{109.0904726551}}{2}
$