m^2-4m-36=-4

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Solution for m^2-4m-36=-4 equation: 


Simplifying
m2 + -4m + -36 = -4

Reorder the terms:
-36 + -4m + m2 = -4

Solving
-36 + -4m + m2 = -4

Solving for variable 'm'.

Reorder the terms:
-36 + 4 + -4m + m2 = -4 + 4

Combine like terms: -36 + 4 = -32
-32 + -4m + m2 = -4 + 4

Combine like terms: -4 + 4 = 0
-32 + -4m + m2 = 0

Factor a trinomial.
(-4 + -1m)(8 + -1m) = 0


Subproblem 1
Set the factor '(-4 + -1m)' equal to zero and attempt to solve:

Simplifying
-4 + -1m = 0

Solving
-4 + -1m = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1m = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1m = 0 + 4
-1m = 0 + 4

Combine like terms: 0 + 4 = 4
-1m = 4

Divide each side by '-1'.
m = -4

Simplifying
m = -4

Subproblem 2
Set the factor '(8 + -1m)' equal to zero and attempt to solve:

Simplifying
8 + -1m = 0

Solving
8 + -1m = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1m = 0 + -8
-1m = 0 + -8

Combine like terms: 0 + -8 = -8
-1m = -8

Divide each side by '-1'.
m = 8

Simplifying
m = 8
Solution
m = {-4, 8}

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