10e^2-26e+12=0

Solution for 10e^2-26e+12=0 equation:

Simplifying
10e2 + -26e + 12 = 0

Reorder the terms:
12 + -26e + 10e2 = 0

Solving
12 + -26e + 10e2 = 0

Solving for variable 'e'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -13e + 5e2) = 0

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

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
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
Solution
e = {0.6, 2}