2(e-13)(e+15)=0

Solution for 2(e-13)(e+15)=0 equation:

2(e-13)(e+15)=0

We multiply parentheses ..

2(+e^2+15e-13e-195)=0

We multiply parentheses

2e^2+30e-26e-390=0

We add all the numbers together, and all the variables

2e^2+4e-390=0

a = 2; b = 4; c = -390;
Δ = b2-4ac
Δ = 42-4·2·(-390)
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-56}{2*2}=\frac{-60}{4}
=-15
$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+56}{2*2}=\frac{52}{4}
=13
$