m^2-12m+21=10

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Solution for m^2-12m+21=10 equation: 


Simplifying
m2 + -12m + 21 = 10

Reorder the terms:
21 + -12m + m2 = 10

Solving
21 + -12m + m2 = 10

Solving for variable 'm'.

Reorder the terms:
21 + -10 + -12m + m2 = 10 + -10

Combine like terms: 21 + -10 = 11
11 + -12m + m2 = 10 + -10

Combine like terms: 10 + -10 = 0
11 + -12m + m2 = 0

Factor a trinomial.
(1 + -1m)(11 + -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 '(11 + -1m)' equal to zero and attempt to solve:

Simplifying
11 + -1m = 0

Solving
11 + -1m = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1m = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1m = 0 + -11
-1m = 0 + -11

Combine like terms: 0 + -11 = -11
-1m = -11

Divide each side by '-1'.
m = 11

Simplifying
m = 11
Solution
m = {1, 11}

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