(36y)p=(12y+48).5p

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Solution for (36y)p=(12y+48).5p equation: 


Simplifying
(36y) * p = (12y + 48) * 0.5p

Remove parenthesis around (36y)
36y * p = (12y + 48) * 0.5p

Multiply y * p
36py = (12y + 48) * 0.5p

Reorder the terms:
36py = (48 + 12y) * 0.5p

Reorder the terms for easier multiplication:
36py = 0.5p(48 + 12y)
36py = (48 * 0.5p + 12y * 0.5p)
36py = (24p + 6py)

Solving
36py = 24p + 6py

Solving for variable 'p'.

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

Add '-24p' to each side of the equation.
-24p + 36py = 24p + -24p + 6py

Combine like terms: 24p + -24p = 0
-24p + 36py = 0 + 6py
-24p + 36py = 6py

Add '-6py' to each side of the equation.
-24p + 36py + -6py = 6py + -6py

Combine like terms: 36py + -6py = 30py
-24p + 30py = 6py + -6py

Combine like terms: 6py + -6py = 0
-24p + 30py = 0

Factor out the Greatest Common Factor (GCF), '6p'.
6p(-4 + 5y) = 0

Ignore the factor 6.

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 '(-4 + 5y)' equal to zero and attempt to solve:

Simplifying
-4 + 5y = 0

Solving
-4 + 5y = 0

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

Add '4' to each side of the equation.
-4 + 4 + 5y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 5y = 0 + 4
5y = 0 + 4

Combine like terms: 0 + 4 = 4
5y = 4

Add '-5y' to each side of the equation.
5y + -5y = 4 + -5y

Combine like terms: 5y + -5y = 0
0 = 4 + -5y

Simplifying
0 = 4 + -5y

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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