16p^3q^2=24pq^2

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Solution for 16p^3q^2=24pq^2 equation:


Simplifying
16p3q2 = 24pq2

Solving
16p3q2 = 24pq2

Solving for variable 'p'.

Reorder the terms:
-24pq2 + 16p3q2 = 24pq2 + -24pq2

Combine like terms: 24pq2 + -24pq2 = 0
-24pq2 + 16p3q2 = 0

Factor out the Greatest Common Factor (GCF), '8pq2'.
8pq2(-3 + 2p2) = 0

Ignore the factor 8.

Subproblem 1

Set the factor 'pq2' equal to zero and attempt to solve: Simplifying pq2 = 0 Solving pq2 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying pq2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-3 + 2p2)' equal to zero and attempt to solve: Simplifying -3 + 2p2 = 0 Solving -3 + 2p2 = 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 + 2p2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2p2 = 0 + 3 2p2 = 0 + 3 Combine like terms: 0 + 3 = 3 2p2 = 3 Divide each side by '2'. p2 = 1.5 Simplifying p2 = 1.5 Take the square root of each side: p = {-1.224744871, 1.224744871}

Solution

p = {-1.224744871, 1.224744871}

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