-5e^6+5e^4=0

Solution for -5e^6+5e^4=0 equation:

Simplifying
-5e6 + 5e4 = 0

Reorder the terms:
5e4 + -5e6 = 0

Solving
5e4 + -5e6 = 0

Solving for variable 'e'.

Factor out the Greatest Common Factor (GCF), '5e4'.
5e4(1 + -1e2) = 0

Factor a difference between two squares.
5e4((1 + e)(1 + -1e)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'e4' equal to zero and attempt to solve:

Simplifying
e4 = 0

Solving
e4 = 0

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

Simplifying
e4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(1 + e)' equal to zero and attempt to solve:

Simplifying
1 + e = 0

Solving
1 + e = 0

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

Add '-1' to each side of the equation.
1 + -1 + e = 0 + -1

Combine like terms: 1 + -1 = 0
0 + e = 0 + -1
e = 0 + -1

Combine like terms: 0 + -1 = -1
e = -1

Simplifying
e = -1
Subproblem 3
Set the factor '(1 + -1e)' equal to zero and attempt to solve:

Simplifying
1 + -1e = 0

Solving
1 + -1e = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1e = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1e = 0 + -1
-1e = 0 + -1

Combine like terms: 0 + -1 = -1
-1e = -1

Divide each side by '-1'.
e = 1

Simplifying
e = 1
Solution
e = {-1, 1}