(4pq)(-p^2q^2)=4p^3q^4

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Solution for (4pq)(-p^2q^2)=4p^3q^4 equation:


Simplifying
(4pq)(-1p2q2) = 4p3q4

Remove parenthesis around (4pq)
4pq(-1p2q2) = 4p3q4

Remove parenthesis around (-1p2q2)
4pq * -1p2q2 = 4p3q4

Reorder the terms for easier multiplication:
4 * -1pq * p2q2 = 4p3q4

Multiply 4 * -1
-4pq * p2q2 = 4p3q4

Multiply pq * p2q2
-4p3q3 = 4p3q4

Solving
-4p3q3 = 4p3q4

Solving for variable 'p'.

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

Add '-4p3q4' to each side of the equation.
-4p3q3 + -4p3q4 = 4p3q4 + -4p3q4

Combine like terms: 4p3q4 + -4p3q4 = 0
-4p3q3 + -4p3q4 = 0

Factor out the Greatest Common Factor (GCF), '-4p3q3'.
-4p3q3(1 + q) = 0

Ignore the factor -4.

Subproblem 1

Set the factor 'p3q3' equal to zero and attempt to solve: Simplifying p3q3 = 0 Solving p3q3 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p3q3 = 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 '(1 + q)' equal to zero and attempt to solve: Simplifying 1 + q = 0 Solving 1 + q = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + q = 0 + -1 Combine like terms: 1 + -1 = 0 0 + q = 0 + -1 q = 0 + -1 Combine like terms: 0 + -1 = -1 q = -1 Add '-1q' to each side of the equation. q + -1q = -1 + -1q Combine like terms: q + -1q = 0 0 = -1 + -1q Simplifying 0 = -1 + -1q The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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