p^2-1-4q^2-4q=0

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Solution for p^2-1-4q^2-4q=0 equation:


Simplifying
p2 + -1 + -4q2 + -4q = 0

Reorder the terms:
-1 + p2 + -4q + -4q2 = 0

Solving
-1 + p2 + -4q + -4q2 = 0

Solving for variable 'p'.

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

Add '1' to each side of the equation.
-1 + p2 + -4q + 1 + -4q2 = 0 + 1

Reorder the terms:
-1 + 1 + p2 + -4q + -4q2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + p2 + -4q + -4q2 = 0 + 1
p2 + -4q + -4q2 = 0 + 1

Combine like terms: 0 + 1 = 1
p2 + -4q + -4q2 = 1

Add '4q' to each side of the equation.
p2 + -4q + 4q + -4q2 = 1 + 4q

Combine like terms: -4q + 4q = 0
p2 + 0 + -4q2 = 1 + 4q
p2 + -4q2 = 1 + 4q

Add '4q2' to each side of the equation.
p2 + -4q2 + 4q2 = 1 + 4q + 4q2

Combine like terms: -4q2 + 4q2 = 0
p2 + 0 = 1 + 4q + 4q2
p2 = 1 + 4q + 4q2

Simplifying
p2 = 1 + 4q + 4q2

Reorder the terms:
-1 + p2 + -4q + -4q2 = 1 + 4q + 4q2 + -1 + -4q + -4q2

Reorder the terms:
-1 + p2 + -4q + -4q2 = 1 + -1 + 4q + -4q + 4q2 + -4q2

Combine like terms: 1 + -1 = 0
-1 + p2 + -4q + -4q2 = 0 + 4q + -4q + 4q2 + -4q2
-1 + p2 + -4q + -4q2 = 4q + -4q + 4q2 + -4q2

Combine like terms: 4q + -4q = 0
-1 + p2 + -4q + -4q2 = 0 + 4q2 + -4q2
-1 + p2 + -4q + -4q2 = 4q2 + -4q2

Combine like terms: 4q2 + -4q2 = 0
-1 + p2 + -4q + -4q2 = 0

The solution to this equation could not be determined.

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