4p^2+20pq=0

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Solution for 4p^2+20pq=0 equation: 


Simplifying
4p2 + 20pq = 0

Reorder the terms:
20pq + 4p2 = 0

Solving
20pq + 4p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4p'.
4p(5q + p) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0

Subproblem 2
Set the factor '(5q + p)' equal to zero and attempt to solve:

Simplifying
5q + p = 0

Reorder the terms:
p + 5q = 0

Solving
p + 5q = 0

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

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

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

Simplifying
p = -5q
Solution
p = {0, -5q}

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