[(4q+5)+p][(4q+5)-p]=

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Solution for [(4q+5)+p][(4q+5)-p]= equation: 


Simplifying
[(4q + 5) + p][(4q + 5) + -1p] = 0

Reorder the terms:
[(5 + 4q) + p][(4q + 5) + -1p] = 0

Remove parenthesis around (5 + 4q)
[5 + 4q + p][(4q + 5) + -1p] = 0

Reorder the terms:
[5 + p + 4q][(4q + 5) + -1p] = 0

Reorder the terms:
[5 + p + 4q][(5 + 4q) + -1p] = 0

Remove parenthesis around (5 + 4q)
[5 + p + 4q][5 + 4q + -1p] = 0

Reorder the terms:
[5 + p + 4q][5 + -1p + 4q] = 0

Multiply [5 + p + 4q] * [5 + -1p + 4q]
[5[5 + -1p + 4q] + p[5 + -1p + 4q] + 4q * [5 + -1p + 4q]] = 0
[[5 * 5 + -1p * 5 + 4q * 5] + p[5 + -1p + 4q] + 4q * [5 + -1p + 4q]] = 0
[[25 + -5p + 20q] + p[5 + -1p + 4q] + 4q * [5 + -1p + 4q]] = 0
[25 + -5p + 20q + [5 * p + -1p * p + 4q * p] + 4q * [5 + -1p + 4q]] = 0

Reorder the terms:
[25 + -5p + 20q + [5p + 4pq + -1p2] + 4q * [5 + -1p + 4q]] = 0
[25 + -5p + 20q + [5p + 4pq + -1p2] + 4q * [5 + -1p + 4q]] = 0
[25 + -5p + 20q + 5p + 4pq + -1p2 + [5 * 4q + -1p * 4q + 4q * 4q]] = 0

Reorder the terms:
[25 + -5p + 20q + 5p + 4pq + -1p2 + [-4pq + 20q + 16q2]] = 0
[25 + -5p + 20q + 5p + 4pq + -1p2 + [-4pq + 20q + 16q2]] = 0

Reorder the terms:
[25 + -5p + 5p + 4pq + -4pq + -1p2 + 20q + 20q + 16q2] = 0

Combine like terms: -5p + 5p = 0
[25 + 0 + 4pq + -4pq + -1p2 + 20q + 20q + 16q2] = 0
[25 + 4pq + -4pq + -1p2 + 20q + 20q + 16q2] = 0

Combine like terms: 4pq + -4pq = 0
[25 + 0 + -1p2 + 20q + 20q + 16q2] = 0
[25 + -1p2 + 20q + 20q + 16q2] = 0

Combine like terms: 20q + 20q = 40q
[25 + -1p2 + 40q + 16q2] = 0

Solving
25 + -1p2 + 40q + 16q2 = 0

Solving for variable 'p'.

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

Add '-25' to each side of the equation.
25 + -1p2 + 40q + -25 + 16q2 = 0 + -25

Reorder the terms:
25 + -25 + -1p2 + 40q + 16q2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1p2 + 40q + 16q2 = 0 + -25
-1p2 + 40q + 16q2 = 0 + -25

Combine like terms: 0 + -25 = -25
-1p2 + 40q + 16q2 = -25

Add '-40q' to each side of the equation.
-1p2 + 40q + -40q + 16q2 = -25 + -40q

Combine like terms: 40q + -40q = 0
-1p2 + 0 + 16q2 = -25 + -40q
-1p2 + 16q2 = -25 + -40q

Add '-16q2' to each side of the equation.
-1p2 + 16q2 + -16q2 = -25 + -40q + -16q2

Combine like terms: 16q2 + -16q2 = 0
-1p2 + 0 = -25 + -40q + -16q2
-1p2 = -25 + -40q + -16q2

Divide each side by '-1'.
p2 = 25 + 40q + 16q2

Simplifying
p2 = 25 + 40q + 16q2

Reorder the terms:
-25 + p2 + -40q + -16q2 = 25 + 40q + 16q2 + -25 + -40q + -16q2

Reorder the terms:
-25 + p2 + -40q + -16q2 = 25 + -25 + 40q + -40q + 16q2 + -16q2

Combine like terms: 25 + -25 = 0
-25 + p2 + -40q + -16q2 = 0 + 40q + -40q + 16q2 + -16q2
-25 + p2 + -40q + -16q2 = 40q + -40q + 16q2 + -16q2

Combine like terms: 40q + -40q = 0
-25 + p2 + -40q + -16q2 = 0 + 16q2 + -16q2
-25 + p2 + -40q + -16q2 = 16q2 + -16q2

Combine like terms: 16q2 + -16q2 = 0
-25 + p2 + -40q + -16q2 = 0

The solution to this equation could not be determined.

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