m^2-8m+4=-3

Solution for m^2-8m+4=-3 equation:

Simplifying
m2 + -8m + 4 = -3

Reorder the terms:
4 + -8m + m2 = -3

Solving
4 + -8m + m2 = -3

Solving for variable 'm'.

Reorder the terms:
4 + 3 + -8m + m2 = -3 + 3

Combine like terms: 4 + 3 = 7
7 + -8m + m2 = -3 + 3

Combine like terms: -3 + 3 = 0
7 + -8m + m2 = 0

Factor a trinomial.
(1 + -1m)(7 + -1m) = 0

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

Simplifying
1 + -1m = 0

Solving
1 + -1m = 0

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

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

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

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

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

Simplifying
m = 1
Subproblem 2
Set the factor '(7 + -1m)' equal to zero and attempt to solve:

Simplifying
7 + -1m = 0

Solving
7 + -1m = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1m = 0 + -7
-1m = 0 + -7

Combine like terms: 0 + -7 = -7
-1m = -7

Divide each side by '-1'.
m = 7

Simplifying
m = 7
Solution
m = {1, 7}