1=9E-08x2-0.0013x+59.258

Solution for 1=9E-08x2-0.0013x+59.258 equation:

1=9-08E^2-0.0013E+59.258

We move all terms to the left:

1-(9-08E^2-0.0013E+59.258)=0

We get rid of parentheses

08E^2+0.0013E-9-59.258+1=0

We add all the numbers together, and all the variables

08E^2+0.0013E-67.258=0

a = 08; b = 0.0013; c = -67.258;
Δ = b2-4ac
Δ = 0.00132-4·08·(-67.258)
Δ = 2152.25600169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$E_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$E_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$E_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0.0013)-\sqrt{2152.25600169}}{2*08}=\frac{-0.0013-\sqrt{2152.25600169}}{16}
$
$E_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.0013)+\sqrt{2152.25600169}}{2*08}=\frac{-0.0013+\sqrt{2152.25600169}}{16}
$