24p(p)-12p=24p-12p(p)

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Solution for 24p(p)-12p=24p-12p(p) equation:


Simplifying
24p(p) + -12p = 24p + -12p(p)

Multiply p * p
24p2 + -12p = 24p + -12p(p)

Reorder the terms:
-12p + 24p2 = 24p + -12p(p)

Multiply p * p
-12p + 24p2 = 24p + -12p2

Solving
-12p + 24p2 = 24p + -12p2

Solving for variable 'p'.

Reorder the terms:
-12p + -24p + 24p2 + 12p2 = 24p + -12p2 + -24p + 12p2

Combine like terms: -12p + -24p = -36p
-36p + 24p2 + 12p2 = 24p + -12p2 + -24p + 12p2

Combine like terms: 24p2 + 12p2 = 36p2
-36p + 36p2 = 24p + -12p2 + -24p + 12p2

Reorder the terms:
-36p + 36p2 = 24p + -24p + -12p2 + 12p2

Combine like terms: 24p + -24p = 0
-36p + 36p2 = 0 + -12p2 + 12p2
-36p + 36p2 = -12p2 + 12p2

Combine like terms: -12p2 + 12p2 = 0
-36p + 36p2 = 0

Factor out the Greatest Common Factor (GCF), '36p'.
36p(-1 + p) = 0

Ignore the factor 36.

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 '(-1 + p)' equal to zero and attempt to solve:

Simplifying
-1 + p = 0

Solving
-1 + p = 0

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

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

Combine like terms: -1 + 1 = 0
0 + p = 0 + 1
p = 0 + 1

Combine like terms: 0 + 1 = 1
p = 1

Simplifying
p = 1
Solution
p = {0, 1}

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