4(1-10e^2)=0

Solution for 4(1-10e^2)=0 equation:

Simplifying
4(1 + -10e2) = 0
(1 * 4 + -10e2 * 4) = 0
(4 + -40e2) = 0

Solving
4 + -40e2 = 0

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -40e2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -40e2 = 0 + -4
-40e2 = 0 + -4

Combine like terms: 0 + -4 = -4
-40e2 = -4

Divide each side by '-40'.
e2 = 0.1

Simplifying
e2 = 0.1

Take the square root of each side:
e = {-0.316227766, 0.316227766}