q^2+6q+9-p^2=0

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Solution for q^2+6q+9-p^2=0 equation: 


Simplifying
q2 + 6q + 9 + -1p2 = 0

Reorder the terms:
9 + -1p2 + 6q + q2 = 0

Solving
9 + -1p2 + 6q + q2 = 0

Solving for variable 'p'.

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

Add '-9' to each side of the equation.
9 + -1p2 + 6q + -9 + q2 = 0 + -9

Reorder the terms:
9 + -9 + -1p2 + 6q + q2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1p2 + 6q + q2 = 0 + -9
-1p2 + 6q + q2 = 0 + -9

Combine like terms: 0 + -9 = -9
-1p2 + 6q + q2 = -9

Add '-6q' to each side of the equation.
-1p2 + 6q + -6q + q2 = -9 + -6q

Combine like terms: 6q + -6q = 0
-1p2 + 0 + q2 = -9 + -6q
-1p2 + q2 = -9 + -6q

Add '-1q2' to each side of the equation.
-1p2 + q2 + -1q2 = -9 + -6q + -1q2

Combine like terms: q2 + -1q2 = 0
-1p2 + 0 = -9 + -6q + -1q2
-1p2 = -9 + -6q + -1q2

Divide each side by '-1'.
p2 = 9 + 6q + q2

Simplifying
p2 = 9 + 6q + q2

Reorder the terms:
-9 + p2 + -6q + -1q2 = 9 + 6q + q2 + -9 + -6q + -1q2

Reorder the terms:
-9 + p2 + -6q + -1q2 = 9 + -9 + 6q + -6q + q2 + -1q2

Combine like terms: 9 + -9 = 0
-9 + p2 + -6q + -1q2 = 0 + 6q + -6q + q2 + -1q2
-9 + p2 + -6q + -1q2 = 6q + -6q + q2 + -1q2

Combine like terms: 6q + -6q = 0
-9 + p2 + -6q + -1q2 = 0 + q2 + -1q2
-9 + p2 + -6q + -1q2 = q2 + -1q2

Combine like terms: q2 + -1q2 = 0
-9 + p2 + -6q + -1q2 = 0

The solution to this equation could not be determined.

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