49p^3q-81pq^3=0

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Solution for 49p^3q-81pq^3=0 equation:


Simplifying
49p3q + -81pq3 = 0

Reorder the terms:
-81pq3 + 49p3q = 0

Solving
-81pq3 + 49p3q = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'pq'.
pq(-81q2 + 49p2) = 0

Factor a difference between two squares.
pq((9q + 7p)(-9q + 7p)) = 0

Subproblem 1

Set the factor 'pq' equal to zero and attempt to solve: Simplifying pq = 0 Solving pq = 0 Move all terms containing p to the left, all other terms to the right. Simplifying pq = 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 '(9q + 7p)' equal to zero and attempt to solve: Simplifying 9q + 7p = 0 Reorder the terms: 7p + 9q = 0 Solving 7p + 9q = 0 Move all terms containing p to the left, all other terms to the right. Add '-9q' to each side of the equation. 7p + 9q + -9q = 0 + -9q Combine like terms: 9q + -9q = 0 7p + 0 = 0 + -9q 7p = 0 + -9q Remove the zero: 7p = -9q Divide each side by '7'. p = -1.285714286q Simplifying p = -1.285714286q

Subproblem 3

Set the factor '(-9q + 7p)' equal to zero and attempt to solve: Simplifying -9q + 7p = 0 Reorder the terms: 7p + -9q = 0 Solving 7p + -9q = 0 Move all terms containing p to the left, all other terms to the right. Add '9q' to each side of the equation. 7p + -9q + 9q = 0 + 9q Combine like terms: -9q + 9q = 0 7p + 0 = 0 + 9q 7p = 0 + 9q Remove the zero: 7p = 9q Divide each side by '7'. p = 1.285714286q Simplifying p = 1.285714286q

Solution

p = {-1.285714286q, 1.285714286q}

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