5pq(3p+5q)=

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Solution for 5pq(3p+5q)= equation: 


Simplifying
5pq(3p + 5q) = 0
(3p * 5pq + 5q * 5pq) = 0

Reorder the terms:
(25pq2 + 15p2q) = 0
(25pq2 + 15p2q) = 0

Solving
25pq2 + 15p2q = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '5pq'.
5pq(5q + 3p) = 0

Ignore the factor 5.

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 '(5q + 3p)' equal to zero and attempt to solve:

Simplifying
5q + 3p = 0

Reorder the terms:
3p + 5q = 0

Solving
3p + 5q = 0

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

Add '-5q' to each side of the equation.
3p + 5q + -5q = 0 + -5q

Combine like terms: 5q + -5q = 0
3p + 0 = 0 + -5q
3p = 0 + -5q
Remove the zero:
3p = -5q

Divide each side by '3'.
p = -1.666666667q

Simplifying
p = -1.666666667q
Solution
p = {-1.666666667q}

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