2pq^2-12pq+6q^2-36q=

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Solution for 2pq^2-12pq+6q^2-36q= equation:


Simplifying
2pq2 + -12pq + 6q2 + -36q = 0

Reorder the terms:
-12pq + 2pq2 + -36q + 6q2 = 0

Solving
-12pq + 2pq2 + -36q + 6q2 = 0

Solving for variable 'p'.

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

Add '36q' to each side of the equation.
-12pq + 2pq2 + -36q + 36q + 6q2 = 0 + 36q

Combine like terms: -36q + 36q = 0
-12pq + 2pq2 + 0 + 6q2 = 0 + 36q
-12pq + 2pq2 + 6q2 = 0 + 36q
Remove the zero:
-12pq + 2pq2 + 6q2 = 36q

Add '-6q2' to each side of the equation.
-12pq + 2pq2 + 6q2 + -6q2 = 36q + -6q2

Combine like terms: 6q2 + -6q2 = 0
-12pq + 2pq2 + 0 = 36q + -6q2
-12pq + 2pq2 = 36q + -6q2

Reorder the terms:
-12pq + 2pq2 + -36q + 6q2 = 36q + -36q + -6q2 + 6q2

Combine like terms: 36q + -36q = 0
-12pq + 2pq2 + -36q + 6q2 = 0 + -6q2 + 6q2
-12pq + 2pq2 + -36q + 6q2 = -6q2 + 6q2

Combine like terms: -6q2 + 6q2 = 0
-12pq + 2pq2 + -36q + 6q2 = 0

Factor out the Greatest Common Factor (GCF), '2q'.
2q(-6p + pq + -18 + 3q) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'q' equal to zero and attempt to solve: Simplifying q = 0 Solving q = 0 Move all terms containing p to the left, all other terms to the right. Add '-1q' to each side of the equation. q + -1q = 0 + -1q Remove the zero: 0 = -1q Simplifying 0 = -1q 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 '(-6p + pq + -18 + 3q)' equal to zero and attempt to solve: Simplifying -6p + pq + -18 + 3q = 0 Reorder the terms: -18 + -6p + pq + 3q = 0 Solving -18 + -6p + pq + 3q = 0 Move all terms containing p to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -6p + pq + 18 + 3q = 0 + 18 Reorder the terms: -18 + 18 + -6p + pq + 3q = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -6p + pq + 3q = 0 + 18 -6p + pq + 3q = 0 + 18 Combine like terms: 0 + 18 = 18 -6p + pq + 3q = 18 Add '-3q' to each side of the equation. -6p + pq + 3q + -3q = 18 + -3q Combine like terms: 3q + -3q = 0 -6p + pq + 0 = 18 + -3q -6p + pq = 18 + -3q The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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