2p^3=162p

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Solution for 2p^3=162p equation:


Simplifying
2p3 = 162p

Solving
2p3 = 162p

Solving for variable 'p'.

Reorder the terms:
-162p + 2p3 = 162p + -162p

Combine like terms: 162p + -162p = 0
-162p + 2p3 = 0

Factor out the Greatest Common Factor (GCF), '2p'.
2p(-81 + p2) = 0

Factor a difference between two squares.
2p((9 + p)(-9 + p)) = 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 '(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

Subproblem 3

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, 9}

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