3e^2+2e-8=0

Solution for 3e^2+2e-8=0 equation:

Simplifying
3e2 + 2e + -8 = 0

Reorder the terms:
-8 + 2e + 3e2 = 0

Solving
-8 + 2e + 3e2 = 0

Solving for variable 'e'.

Factor a trinomial.
(-2 + -1e)(4 + -3e) = 0

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

Simplifying
-2 + -1e = 0

Solving
-2 + -1e = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1e = 0 + 2

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

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

Divide each side by '-1'.
e = -2

Simplifying
e = -2
Subproblem 2
Set the factor '(4 + -3e)' equal to zero and attempt to solve:

Simplifying
4 + -3e = 0

Solving
4 + -3e = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3e = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3e = 0 + -4
-3e = 0 + -4

Combine like terms: 0 + -4 = -4
-3e = -4

Divide each side by '-3'.
e = 1.333333333

Simplifying
e = 1.333333333
Solution
e = {-2, 1.333333333}