p^2-4q^2-12q-9=0

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Solution for p^2-4q^2-12q-9=0 equation:


Simplifying
p2 + -4q2 + -12q + -9 = 0

Reorder the terms:
-9 + p2 + -12q + -4q2 = 0

Solving
-9 + p2 + -12q + -4q2 = 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 + p2 + -12q + 9 + -4q2 = 0 + 9

Reorder the terms:
-9 + 9 + p2 + -12q + -4q2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + p2 + -12q + -4q2 = 0 + 9
p2 + -12q + -4q2 = 0 + 9

Combine like terms: 0 + 9 = 9
p2 + -12q + -4q2 = 9

Add '12q' to each side of the equation.
p2 + -12q + 12q + -4q2 = 9 + 12q

Combine like terms: -12q + 12q = 0
p2 + 0 + -4q2 = 9 + 12q
p2 + -4q2 = 9 + 12q

Add '4q2' to each side of the equation.
p2 + -4q2 + 4q2 = 9 + 12q + 4q2

Combine like terms: -4q2 + 4q2 = 0
p2 + 0 = 9 + 12q + 4q2
p2 = 9 + 12q + 4q2

Simplifying
p2 = 9 + 12q + 4q2

Reorder the terms:
-9 + p2 + -12q + -4q2 = 9 + 12q + 4q2 + -9 + -12q + -4q2

Reorder the terms:
-9 + p2 + -12q + -4q2 = 9 + -9 + 12q + -12q + 4q2 + -4q2

Combine like terms: 9 + -9 = 0
-9 + p2 + -12q + -4q2 = 0 + 12q + -12q + 4q2 + -4q2
-9 + p2 + -12q + -4q2 = 12q + -12q + 4q2 + -4q2

Combine like terms: 12q + -12q = 0
-9 + p2 + -12q + -4q2 = 0 + 4q2 + -4q2
-9 + p2 + -12q + -4q2 = 4q2 + -4q2

Combine like terms: 4q2 + -4q2 = 0
-9 + p2 + -12q + -4q2 = 0

The solution to this equation could not be determined.

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