(9e-8)(4e+6)=180

Solution for (9e-8)(4e+6)=180 equation:

(9e-8)(4e+6)=180

We move all terms to the left:

(9e-8)(4e+6)-(180)=0

We multiply parentheses ..

(+36e^2+54e-32e-48)-180=0

We get rid of parentheses

36e^2+54e-32e-48-180=0

We add all the numbers together, and all the variables

36e^2+22e-228=0

a = 36; b = 22; c = -228;
Δ = b2-4ac
Δ = 222-4·36·(-228)
Δ = 33316
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{33316}=\sqrt{4*8329}=\sqrt{4}*\sqrt{8329}=2\sqrt{8329}$
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(22)-2\sqrt{8329}}{2*36}=\frac{-22-2\sqrt{8329}}{72}
$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(22)+2\sqrt{8329}}{2*36}=\frac{-22+2\sqrt{8329}}{72}
$