3p(p-9)*9=

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Solution for 3p(p-9)*9= equation: 


Simplifying
3p(p + -9) * 9 = 0

Reorder the terms:
3p(-9 + p) * 9 = 0

Reorder the terms for easier multiplication:
3 * 9p(-9 + p) = 0

Multiply 3 * 9
27p(-9 + p) = 0
(-9 * 27p + p * 27p) = 0
(-243p + 27p2) = 0

Solving
-243p + 27p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '27p'.
27p(-9 + p) = 0

Ignore the factor 27.

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 '(-9 + p)' equal to zero and attempt to solve:

Simplifying
-9 + p = 0

Solving
-9 + p = 0

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

Add '9' to each side of the equation.
-9 + 9 + p = 0 + 9

Combine like terms: -9 + 9 = 0
0 + p = 0 + 9
p = 0 + 9

Combine like terms: 0 + 9 = 9
p = 9

Simplifying
p = 9
Solution
p = {0, 9}

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