3pg(5pg-6pq)=

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Solution for 3pg(5pg-6pq)= equation:


Simplifying
3pg(5pg + -6pq) = 0
(5gp * 3gp + -6pq * 3gp) = 0

Reorder the terms:
(-18gp2q + 15g2p2) = 0
(-18gp2q + 15g2p2) = 0

Solving
-18gp2q + 15g2p2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '3gp2'.
3gp2(-6q + 5g) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'gp2' equal to zero and attempt to solve: Simplifying gp2 = 0 Solving gp2 = 0 Move all terms containing g to the left, all other terms to the right. Simplifying gp2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-6q + 5g)' equal to zero and attempt to solve: Simplifying -6q + 5g = 0 Reorder the terms: 5g + -6q = 0 Solving 5g + -6q = 0 Move all terms containing g to the left, all other terms to the right. Add '6q' to each side of the equation. 5g + -6q + 6q = 0 + 6q Combine like terms: -6q + 6q = 0 5g + 0 = 0 + 6q 5g = 0 + 6q Remove the zero: 5g = 6q Divide each side by '5'. g = 1.2q Simplifying g = 1.2q

Solution

g = {1.2q}

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