m^2-4m-53=-8

Solution for m^2-4m-53=-8 equation:

Simplifying
m2 + -4m + -53 = -8

Reorder the terms:
-53 + -4m + m2 = -8

Solving
-53 + -4m + m2 = -8

Solving for variable 'm'.

Reorder the terms:
-53 + 8 + -4m + m2 = -8 + 8

Combine like terms: -53 + 8 = -45
-45 + -4m + m2 = -8 + 8

Combine like terms: -8 + 8 = 0
-45 + -4m + m2 = 0

Factor a trinomial.
(-5 + -1m)(9 + -1m) = 0

Subproblem 1
Set the factor '(-5 + -1m)' equal to zero and attempt to solve:

Simplifying
-5 + -1m = 0

Solving
-5 + -1m = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1m = 0 + 5
-1m = 0 + 5

Combine like terms: 0 + 5 = 5
-1m = 5

Divide each side by '-1'.
m = -5

Simplifying
m = -5
Subproblem 2
Set the factor '(9 + -1m)' equal to zero and attempt to solve:

Simplifying
9 + -1m = 0

Solving
9 + -1m = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1m = 0 + -9
-1m = 0 + -9

Combine like terms: 0 + -9 = -9
-1m = -9

Divide each side by '-1'.
m = 9

Simplifying
m = 9
Solution
m = {-5, 9}