n^2-30n+56=0

Solution for n^2-30n+56=0 equation:

Simplifying
n2 + -30n + 56 = 0

Reorder the terms:
56 + -30n + n2 = 0

Solving
56 + -30n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(2 + -1n)(28 + -1n) = 0

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

Simplifying
2 + -1n = 0

Solving
2 + -1n = 0

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

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

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

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

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

Simplifying
n = 2
Subproblem 2
Set the factor '(28 + -1n)' equal to zero and attempt to solve:

Simplifying
28 + -1n = 0

Solving
28 + -1n = 0

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

Add '-28' to each side of the equation.
28 + -28 + -1n = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -1n = 0 + -28
-1n = 0 + -28

Combine like terms: 0 + -28 = -28
-1n = -28

Divide each side by '-1'.
n = 28

Simplifying
n = 28
Solution
n = {2, 28}