m^2-14m+49=49

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Solution for m^2-14m+49=49 equation: 


Simplifying
m2 + -14m + 49 = 49

Reorder the terms:
49 + -14m + m2 = 49

Add '-49' to each side of the equation.
49 + -14m + -49 + m2 = 49 + -49

Reorder the terms:
49 + -49 + -14m + m2 = 49 + -49

Combine like terms: 49 + -49 = 0
0 + -14m + m2 = 49 + -49
-14m + m2 = 49 + -49

Combine like terms: 49 + -49 = 0
-14m + m2 = 0

Solving
-14m + m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-14 + m) = 0


Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0

Subproblem 2
Set the factor '(-14 + m)' equal to zero and attempt to solve:

Simplifying
-14 + m = 0

Solving
-14 + m = 0

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

Add '14' to each side of the equation.
-14 + 14 + m = 0 + 14

Combine like terms: -14 + 14 = 0
0 + m = 0 + 14
m = 0 + 14

Combine like terms: 0 + 14 = 14
m = 14

Simplifying
m = 14
Solution
m = {0, 14}

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