m^2-16m+43=4

Solution for m^2-16m+43=4 equation:

Simplifying
m2 + -16m + 43 = 4

Reorder the terms:
43 + -16m + m2 = 4

Solving
43 + -16m + m2 = 4

Solving for variable 'm'.

Reorder the terms:
43 + -4 + -16m + m2 = 4 + -4

Combine like terms: 43 + -4 = 39
39 + -16m + m2 = 4 + -4

Combine like terms: 4 + -4 = 0
39 + -16m + m2 = 0

Factor a trinomial.
(3 + -1m)(13 + -1m) = 0

Subproblem 1
Set the factor '(3 + -1m)' equal to zero and attempt to solve:

Simplifying
3 + -1m = 0

Solving
3 + -1m = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1m = 0 + -3

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

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

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Subproblem 2
Set the factor '(13 + -1m)' equal to zero and attempt to solve:

Simplifying
13 + -1m = 0

Solving
13 + -1m = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1m = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1m = 0 + -13
-1m = 0 + -13

Combine like terms: 0 + -13 = -13
-1m = -13

Divide each side by '-1'.
m = 13

Simplifying
m = 13
Solution
m = {3, 13}