6p(2p-3q)=

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Solution for 6p(2p-3q)= equation: 


Simplifying
6p(2p + -3q) = 0
(2p * 6p + -3q * 6p) = 0

Reorder the terms:
(-18pq + 12p2) = 0
(-18pq + 12p2) = 0

Solving
-18pq + 12p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '6p'.
6p(-3q + 2p) = 0

Ignore the factor 6.

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 '(-3q + 2p)' equal to zero and attempt to solve:

Simplifying
-3q + 2p = 0

Reorder the terms:
2p + -3q = 0

Solving
2p + -3q = 0

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

Add '3q' to each side of the equation.
2p + -3q + 3q = 0 + 3q

Combine like terms: -3q + 3q = 0
2p + 0 = 0 + 3q
2p = 0 + 3q
Remove the zero:
2p = 3q

Divide each side by '2'.
p = 1.5q

Simplifying
p = 1.5q
Solution
p = {0, 1.5q}

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