2(p+3q-4)+5q(2p-q)=

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Solution for 2(p+3q-4)+5q(2p-q)= equation:


Simplifying
2(p + 3q + -4) + 5q(2p + -1q) = 0

Reorder the terms:
2(-4 + p + 3q) + 5q(2p + -1q) = 0
(-4 * 2 + p * 2 + 3q * 2) + 5q(2p + -1q) = 0
(-8 + 2p + 6q) + 5q(2p + -1q) = 0
-8 + 2p + 6q + (2p * 5q + -1q * 5q) = 0
-8 + 2p + 6q + (10pq + -5q2) = 0

Reorder the terms:
-8 + 2p + 10pq + 6q + -5q2 = 0

Solving
-8 + 2p + 10pq + 6q + -5q2 = 0

Solving for variable 'p'.

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

Add '8' to each side of the equation.
-8 + 2p + 10pq + 6q + 8 + -5q2 = 0 + 8

Reorder the terms:
-8 + 8 + 2p + 10pq + 6q + -5q2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 2p + 10pq + 6q + -5q2 = 0 + 8
2p + 10pq + 6q + -5q2 = 0 + 8

Combine like terms: 0 + 8 = 8
2p + 10pq + 6q + -5q2 = 8

Add '-6q' to each side of the equation.
2p + 10pq + 6q + -6q + -5q2 = 8 + -6q

Combine like terms: 6q + -6q = 0
2p + 10pq + 0 + -5q2 = 8 + -6q
2p + 10pq + -5q2 = 8 + -6q

Add '5q2' to each side of the equation.
2p + 10pq + -5q2 + 5q2 = 8 + -6q + 5q2

Combine like terms: -5q2 + 5q2 = 0
2p + 10pq + 0 = 8 + -6q + 5q2
2p + 10pq = 8 + -6q + 5q2

Reorder the terms:
-8 + 2p + 10pq + 6q + -5q2 = 8 + -6q + 5q2 + -8 + 6q + -5q2

Reorder the terms:
-8 + 2p + 10pq + 6q + -5q2 = 8 + -8 + -6q + 6q + 5q2 + -5q2

Combine like terms: 8 + -8 = 0
-8 + 2p + 10pq + 6q + -5q2 = 0 + -6q + 6q + 5q2 + -5q2
-8 + 2p + 10pq + 6q + -5q2 = -6q + 6q + 5q2 + -5q2

Combine like terms: -6q + 6q = 0
-8 + 2p + 10pq + 6q + -5q2 = 0 + 5q2 + -5q2
-8 + 2p + 10pq + 6q + -5q2 = 5q2 + -5q2

Combine like terms: 5q2 + -5q2 = 0
-8 + 2p + 10pq + 6q + -5q2 = 0

The solution to this equation could not be determined.

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