6e^2-37e+6=0

Solution for 6e^2-37e+6=0 equation:

Simplifying
6e2 + -37e + 6 = 0

Reorder the terms:
6 + -37e + 6e2 = 0

Solving
6 + -37e + 6e2 = 0

Solving for variable 'e'.

Factor a trinomial.
(1 + -6e)(6 + -1e) = 0

Subproblem 1
Set the factor '(1 + -6e)' equal to zero and attempt to solve:

Simplifying
1 + -6e = 0

Solving
1 + -6e = 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 + -6e = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6e = 0 + -1
-6e = 0 + -1

Combine like terms: 0 + -1 = -1
-6e = -1

Divide each side by '-6'.
e = 0.1666666667

Simplifying
e = 0.1666666667
Subproblem 2
Set the factor '(6 + -1e)' equal to zero and attempt to solve:

Simplifying
6 + -1e = 0

Solving
6 + -1e = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1e = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1e = 0 + -6
-1e = 0 + -6

Combine like terms: 0 + -6 = -6
-1e = -6

Divide each side by '-1'.
e = 6

Simplifying
e = 6
Solution
e = {0.1666666667, 6}