12p^3q=4p^2q^5

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Solution for 12p^3q=4p^2q^5 equation:


Simplifying
12p3q = 4p2q5

Solving
12p3q = 4p2q5

Solving for variable 'p'.

Reorder the terms:
-4p2q5 + 12p3q = 4p2q5 + -4p2q5

Combine like terms: 4p2q5 + -4p2q5 = 0
-4p2q5 + 12p3q = 0

Factor out the Greatest Common Factor (GCF), '4p2q'.
4p2q(-1q4 + 3p) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'p2q' equal to zero and attempt to solve: Simplifying p2q = 0 Solving p2q = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p2q = 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 '(-1q4 + 3p)' equal to zero and attempt to solve: Simplifying -1q4 + 3p = 0 Reorder the terms: 3p + -1q4 = 0 Solving 3p + -1q4 = 0 Move all terms containing p to the left, all other terms to the right. Add 'q4' to each side of the equation. 3p + -1q4 + q4 = 0 + q4 Combine like terms: -1q4 + q4 = 0 3p + 0 = 0 + q4 3p = 0 + q4 Remove the zero: 3p = q4 Divide each side by '3'. p = 0.3333333333q4 Simplifying p = 0.3333333333q4

Solution

p = {0.3333333333q4}

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