4p(3p+2q)=

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Solution for 4p(3p+2q)= equation: 


Simplifying
4p(3p + 2q) = 0
(3p * 4p + 2q * 4p) = 0

Reorder the terms:
(8pq + 12p2) = 0
(8pq + 12p2) = 0

Solving
8pq + 12p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4p'.
4p(2q + 3p) = 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 '(2q + 3p)' equal to zero and attempt to solve:

Simplifying
2q + 3p = 0

Reorder the terms:
3p + 2q = 0

Solving
3p + 2q = 0

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

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

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

Divide each side by '3'.
p = -0.6666666667q

Simplifying
p = -0.6666666667q
Solution
p = {0, -0.6666666667q}

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