5p(4p-3q)=

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Solution for 5p(4p-3q)= equation: 


Simplifying
5p(4p + -3q) = 0
(4p * 5p + -3q * 5p) = 0

Reorder the terms:
(-15pq + 20p2) = 0
(-15pq + 20p2) = 0

Solving
-15pq + 20p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '5p'.
5p(-3q + 4p) = 0

Ignore the factor 5.

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 + 4p)' equal to zero and attempt to solve:

Simplifying
-3q + 4p = 0

Reorder the terms:
4p + -3q = 0

Solving
4p + -3q = 0

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

Add '3q' to each side of the equation.
4p + -3q + 3q = 0 + 3q

Combine like terms: -3q + 3q = 0
4p + 0 = 0 + 3q
4p = 0 + 3q
Remove the zero:
4p = 3q

Divide each side by '4'.
p = 0.75q

Simplifying
p = 0.75q
Solution
p = {0, 0.75q}

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