=-4p^2q(6p-q^2)

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Solution for =-4p^2q(6p-q^2) equation: 


Simplifying
0 = -4p2q(6p + -1q2)
0 = (6p * -4p2q + -1q2 * -4p2q)

Reorder the terms:
0 = (4p2q3 + -24p3q)
0 = (4p2q3 + -24p3q)

Solving
0 = 4p2q3 + -24p3q

Solving for variable 'p'.
Remove the zero:
-4p2q3 + 24p3q = 4p2q3 + -24p3q + -4p2q3 + 24p3q

Reorder the terms:
-4p2q3 + 24p3q = 4p2q3 + -4p2q3 + -24p3q + 24p3q

Combine like terms: 4p2q3 + -4p2q3 = 0
-4p2q3 + 24p3q = 0 + -24p3q + 24p3q
-4p2q3 + 24p3q = -24p3q + 24p3q

Combine like terms: -24p3q + 24p3q = 0
-4p2q3 + 24p3q = 0

Factor out the Greatest Common Factor (GCF), '4p2q'.
4p2q(-1q2 + 6p) = 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 '(-1q2 + 6p)' equal to zero and attempt to solve:

Simplifying
-1q2 + 6p = 0

Reorder the terms:
6p + -1q2 = 0

Solving
6p + -1q2 = 0

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

Add 'q2' to each side of the equation.
6p + -1q2 + q2 = 0 + q2

Combine like terms: -1q2 + q2 = 0
6p + 0 = 0 + q2
6p = 0 + q2
Remove the zero:
6p = q2

Divide each side by '6'.
p = 0.1666666667q2

Simplifying
p = 0.1666666667q2
Solution
p = {0.1666666667q2}

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