-50e^4-5e^3+15e^2=

Solution for -50e^4-5e^3+15e^2= equation:

Simplifying
-50e4 + -5e3 + 15e2 = 0

Reorder the terms:
15e2 + -5e3 + -50e4 = 0

Solving
15e2 + -5e3 + -50e4 = 0

Solving for variable 'e'.

Factor out the Greatest Common Factor (GCF), '5e2'.
5e2(3 + -1e + -10e2) = 0

Factor a trinomial.
5e2((1 + -2e)(3 + 5e)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'e2' equal to zero and attempt to solve:

Simplifying
e2 = 0

Solving
e2 = 0

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

Simplifying
e2 = 0

Take the square root of each side:
e = {0}
Subproblem 2
Set the factor '(1 + -2e)' equal to zero and attempt to solve:

Simplifying
1 + -2e = 0

Solving
1 + -2e = 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 + -2e = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2e = 0 + -1
-2e = 0 + -1

Combine like terms: 0 + -1 = -1
-2e = -1

Divide each side by '-2'.
e = 0.5

Simplifying
e = 0.5
Subproblem 3
Set the factor '(3 + 5e)' equal to zero and attempt to solve:

Simplifying
3 + 5e = 0

Solving
3 + 5e = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5e = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5e = 0 + -3
5e = 0 + -3

Combine like terms: 0 + -3 = -3
5e = -3

Divide each side by '5'.
e = -0.6

Simplifying
e = -0.6
Solution
e = {0, 0.5, -0.6}