3e^2+20e-7=

Solution for 3e^2+20e-7= equation:

Simplifying
3e2 + 20e + -7 = 0

Reorder the terms:
-7 + 20e + 3e2 = 0

Solving
-7 + 20e + 3e2 = 0

Solving for variable 'e'.

Factor a trinomial.
(-7 + -1e)(1 + -3e) = 0

Subproblem 1
Set the factor '(-7 + -1e)' equal to zero and attempt to solve:

Simplifying
-7 + -1e = 0

Solving
-7 + -1e = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1e = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1e = 0 + 7
-1e = 0 + 7

Combine like terms: 0 + 7 = 7
-1e = 7

Divide each side by '-1'.
e = -7

Simplifying
e = -7
Subproblem 2
Set the factor '(1 + -3e)' equal to zero and attempt to solve:

Simplifying
1 + -3e = 0

Solving
1 + -3e = 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 + -3e = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3e = 0 + -1
-3e = 0 + -1

Combine like terms: 0 + -1 = -1
-3e = -1

Divide each side by '-3'.
e = 0.3333333333

Simplifying
e = 0.3333333333
Solution
e = {-7, 0.3333333333}