4p^3=9p

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Solution for 4p^3=9p equation:


Simplifying
4p3 = 9p

Solving
4p3 = 9p

Solving for variable 'p'.

Reorder the terms:
-9p + 4p3 = 9p + -9p

Combine like terms: 9p + -9p = 0
-9p + 4p3 = 0

Factor out the Greatest Common Factor (GCF), 'p'.
p(-9 + 4p2) = 0

Factor a difference between two squares.
p((3 + 2p)(-3 + 2p)) = 0

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 '(3 + 2p)' equal to zero and attempt to solve: Simplifying 3 + 2p = 0 Solving 3 + 2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2p = 0 + -3 2p = 0 + -3 Combine like terms: 0 + -3 = -3 2p = -3 Divide each side by '2'. p = -1.5 Simplifying p = -1.5

Subproblem 3

Set the factor '(-3 + 2p)' equal to zero and attempt to solve: Simplifying -3 + 2p = 0 Solving -3 + 2p = 0 Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2p = 0 + 3 2p = 0 + 3 Combine like terms: 0 + 3 = 3 2p = 3 Divide each side by '2'. p = 1.5 Simplifying p = 1.5

Solution

p = {0, -1.5, 1.5}

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