12p=8p+10pm

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Solution for 12p=8p+10pm equation: 


Simplifying
12p = 8p + 10pm

Reorder the terms:
12p = 10mp + 8p

Solving
12p = 10mp + 8p

Solving for variable 'p'.

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

Add '-10mp' to each side of the equation.
-10mp + 12p = 10mp + -10mp + 8p

Combine like terms: 10mp + -10mp = 0
-10mp + 12p = 0 + 8p
-10mp + 12p = 8p

Add '-8p' to each side of the equation.
-10mp + 12p + -8p = 8p + -8p

Combine like terms: 12p + -8p = 4p
-10mp + 4p = 8p + -8p

Combine like terms: 8p + -8p = 0
-10mp + 4p = 0

Factor out the Greatest Common Factor (GCF), '2p'.
2p(-5m + 2) = 0

Ignore the factor 2.

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

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0

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

Simplifying
-5m + 2 = 0

Reorder the terms:
2 + -5m = 0

Solving
2 + -5m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5m = 0 + -2
-5m = 0 + -2

Combine like terms: 0 + -2 = -2
-5m = -2

Add '5m' to each side of the equation.
-5m + 5m = -2 + 5m

Combine like terms: -5m + 5m = 0
0 = -2 + 5m

Simplifying
0 = -2 + 5m

The solution to this equation could not be determined.

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

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