5p(4p-2q)=

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Solution for 5p(4p-2q)= equation: 


Simplifying
5p(4p + -2q) = 0
(4p * 5p + -2q * 5p) = 0

Reorder the terms:
(-10pq + 20p2) = 0
(-10pq + 20p2) = 0

Solving
-10pq + 20p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '10p'.
10p(-1q + 2p) = 0

Ignore the factor 10.

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 '(-1q + 2p)' equal to zero and attempt to solve:

Simplifying
-1q + 2p = 0

Reorder the terms:
2p + -1q = 0

Solving
2p + -1q = 0

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

Add 'q' to each side of the equation.
2p + -1q + q = 0 + q

Combine like terms: -1q + q = 0
2p + 0 = 0 + q
2p = 0 + q
Remove the zero:
2p = q

Divide each side by '2'.
p = 0.5q

Simplifying
p = 0.5q
Solution
p = {0, 0.5q}

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