13e^2+8e-5=0

Solution for 13e^2+8e-5=0 equation:

Simplifying
13e2 + 8e + -5 = 0

Reorder the terms:
-5 + 8e + 13e2 = 0

Solving
-5 + 8e + 13e2 = 0

Solving for variable 'e'.

Factor a trinomial.
(-1 + -1e)(5 + -13e) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(5 + -13e)' equal to zero and attempt to solve:

Simplifying
5 + -13e = 0

Solving
5 + -13e = 0

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

Add '-5' to each side of the equation.
5 + -5 + -13e = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -13e = 0 + -5
-13e = 0 + -5

Combine like terms: 0 + -5 = -5
-13e = -5

Divide each side by '-13'.
e = 0.3846153846

Simplifying
e = 0.3846153846
Solution
e = {-1, 0.3846153846}