P(m)=(m-6)2+12

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Solution for P(m)=(m-6)2+12 equation: 


Simplifying
P(m) = (m + -6) * 2 + 12

Multiply P * m
mP = (m + -6) * 2 + 12

Reorder the terms:
mP = (-6 + m) * 2 + 12

Reorder the terms for easier multiplication:
mP = 2(-6 + m) + 12
mP = (-6 * 2 + m * 2) + 12
mP = (-12 + 2m) + 12

Reorder the terms:
mP = -12 + 12 + 2m

Combine like terms: -12 + 12 = 0
mP = 0 + 2m
mP = 2m

Solving
mP = 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
-2m + mP = 2m + -2m

Combine like terms: 2m + -2m = 0
-2m + mP = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-2 + P) = 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 '(-2 + P)' equal to zero and attempt to solve:

Simplifying
-2 + P = 0

Solving
-2 + P = 0

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

Add '2' to each side of the equation.
-2 + 2 + P = 0 + 2

Combine like terms: -2 + 2 = 0
0 + P = 0 + 2
P = 0 + 2

Combine like terms: 0 + 2 = 2
P = 2

Add '-1P' to each side of the equation.
P + -1P = 2 + -1P

Combine like terms: P + -1P = 0
0 = 2 + -1P

Simplifying
0 = 2 + -1P

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
m = {0}

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