3n^2-13n+10=0

Solution for 3n^2-13n+10=0 equation:

Simplifying
3n2 + -13n + 10 = 0

Reorder the terms:
10 + -13n + 3n2 = 0

Solving
10 + -13n + 3n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(1 + -1n)(10 + -3n) = 0

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

Simplifying
1 + -1n = 0

Solving
1 + -1n = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1n = 0 + -1
-1n = 0 + -1

Combine like terms: 0 + -1 = -1
-1n = -1

Divide each side by '-1'.
n = 1

Simplifying
n = 1
Subproblem 2
Set the factor '(10 + -3n)' equal to zero and attempt to solve:

Simplifying
10 + -3n = 0

Solving
10 + -3n = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3n = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3n = 0 + -10
-3n = 0 + -10

Combine like terms: 0 + -10 = -10
-3n = -10

Divide each side by '-3'.
n = 3.333333333

Simplifying
n = 3.333333333
Solution
n = {1, 3.333333333}