2pq^2r^5-pq^2r^4-(r^4pq^2-2q^2r^5p)=

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Solution for 2pq^2r^5-pq^2r^4-(r^4pq^2-2q^2r^5p)= equation:


Simplifying
2pq2r5 + -1pq2r4 + -1(r4pq2 + -2q2r5p) = 0
2pq2r5 + -1pq2r4 + (pq2r4 * -1 + -2pq2r5 * -1) = 0
2pq2r5 + -1pq2r4 + (-1pq2r4 + 2pq2r5) = 0

Reorder the terms:
-1pq2r4 + -1pq2r4 + 2pq2r5 + 2pq2r5 = 0

Combine like terms: -1pq2r4 + -1pq2r4 = -2pq2r4
-2pq2r4 + 2pq2r5 + 2pq2r5 = 0

Combine like terms: 2pq2r5 + 2pq2r5 = 4pq2r5
-2pq2r4 + 4pq2r5 = 0

Solving
-2pq2r4 + 4pq2r5 = 0

Solving for variable 'p'.

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

Factor out the Greatest Common Factor (GCF), '2pq2r4'.
2pq2r4(-1 + 2r) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'pq2r4' equal to zero and attempt to solve: Simplifying pq2r4 = 0 Solving pq2r4 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying pq2r4 = 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 '(-1 + 2r)' equal to zero and attempt to solve: Simplifying -1 + 2r = 0 Solving -1 + 2r = 0 Move all terms containing p to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2r = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2r = 0 + 1 2r = 0 + 1 Combine like terms: 0 + 1 = 1 2r = 1 Add '-2r' to each side of the equation. 2r + -2r = 1 + -2r Combine like terms: 2r + -2r = 0 0 = 1 + -2r Simplifying 0 = 1 + -2r 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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