4e^2+2e^2=150

Solution for 4e^2+2e^2=150 equation:

4e^2+2e^2=150

We move all terms to the left:

4e^2+2e^2-(150)=0

We add all the numbers together, and all the variables

6e^2-150=0

a = 6; b = 0; c = -150;
Δ = b2-4ac
Δ = 02-4·6·(-150)
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*6}=\frac{-60}{12}
=-5
$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*6}=\frac{60}{12}
=5
$