[(13b^3q^2-7p^2q)+pq]-[5p^2q-6pq]=13p^3q^2+12p^2q+6pq

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Solution for [(13b^3q^2-7p^2q)+pq]-[5p^2q-6pq]=13p^3q^2+12p^2q+6pq equation: 


Simplifying
[(13b3q2 + -7p2q) + pq] + -1[5p2q + -6pq] = 13p3q2 + 12p2q + 6pq

Remove parenthesis around (13b3q2 + -7p2q)
[13b3q2 + -7p2q + pq] + -1[5p2q + -6pq] = 13p3q2 + 12p2q + 6pq

Reorder the terms:
[13b3q2 + pq + -7p2q] + -1[5p2q + -6pq] = 13p3q2 + 12p2q + 6pq

Remove brackets around [13b3q2 + pq + -7p2q]
13b3q2 + pq + -7p2q + -1[5p2q + -6pq] = 13p3q2 + 12p2q + 6pq

Reorder the terms:
13b3q2 + pq + -7p2q + -1[-6pq + 5p2q] = 13p3q2 + 12p2q + 6pq
13b3q2 + pq + -7p2q + [-6pq * -1 + 5p2q * -1] = 13p3q2 + 12p2q + 6pq
13b3q2 + pq + -7p2q + [6pq + -5p2q] = 13p3q2 + 12p2q + 6pq

Reorder the terms:
13b3q2 + pq + 6pq + -7p2q + -5p2q = 13p3q2 + 12p2q + 6pq

Combine like terms: pq + 6pq = 7pq
13b3q2 + 7pq + -7p2q + -5p2q = 13p3q2 + 12p2q + 6pq

Combine like terms: -7p2q + -5p2q = -12p2q
13b3q2 + 7pq + -12p2q = 13p3q2 + 12p2q + 6pq

Reorder the terms:
13b3q2 + 7pq + -12p2q = 6pq + 12p2q + 13p3q2

Solving
13b3q2 + 7pq + -12p2q = 6pq + 12p2q + 13p3q2

Solving for variable 'b'.

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

Add '-7pq' to each side of the equation.
13b3q2 + 7pq + -7pq + -12p2q = 6pq + 12p2q + -7pq + 13p3q2

Combine like terms: 7pq + -7pq = 0
13b3q2 + 0 + -12p2q = 6pq + 12p2q + -7pq + 13p3q2
13b3q2 + -12p2q = 6pq + 12p2q + -7pq + 13p3q2

Reorder the terms:
13b3q2 + -12p2q = 6pq + -7pq + 12p2q + 13p3q2

Combine like terms: 6pq + -7pq = -1pq
13b3q2 + -12p2q = -1pq + 12p2q + 13p3q2

Add '12p2q' to each side of the equation.
13b3q2 + -12p2q + 12p2q = -1pq + 12p2q + 12p2q + 13p3q2

Combine like terms: -12p2q + 12p2q = 0
13b3q2 + 0 = -1pq + 12p2q + 12p2q + 13p3q2
13b3q2 = -1pq + 12p2q + 12p2q + 13p3q2

Combine like terms: 12p2q + 12p2q = 24p2q
13b3q2 = -1pq + 24p2q + 13p3q2

Divide each side by '13q2'.
b3 = -0.07692307692pq-1 + 1.846153846p2q-1 + p3

Simplifying
b3 = -0.07692307692pq-1 + 1.846153846p2q-1 + p3

Reorder the terms:
b3 + 0.07692307692pq-1 + -1.846153846p2q-1 + -1p3 = -0.07692307692pq-1 + 0.07692307692pq-1 + 1.846153846p2q-1 + -1.846153846p2q-1 + p3 + -1p3

Combine like terms: -0.07692307692pq-1 + 0.07692307692pq-1 = 0.00000000000
b3 + 0.07692307692pq-1 + -1.846153846p2q-1 + -1p3 = 0.00000000000 + 1.846153846p2q-1 + -1.846153846p2q-1 + p3 + -1p3
b3 + 0.07692307692pq-1 + -1.846153846p2q-1 + -1p3 = 1.846153846p2q-1 + -1.846153846p2q-1 + p3 + -1p3

Combine like terms: 1.846153846p2q-1 + -1.846153846p2q-1 = 0.000000000
b3 + 0.07692307692pq-1 + -1.846153846p2q-1 + -1p3 = 0.000000000 + p3 + -1p3
b3 + 0.07692307692pq-1 + -1.846153846p2q-1 + -1p3 = p3 + -1p3

Combine like terms: p3 + -1p3 = 0
b3 + 0.07692307692pq-1 + -1.846153846p2q-1 + -1p3 = 0

The solution to this equation could not be determined.

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