p^2+2pq+q^2=

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Solution for p^2+2pq+q^2= equation:


Simplifying
p2 + 2pq + q2 = 0

Reorder the terms:
2pq + p2 + q2 = 0

Solving
2pq + p2 + q2 = 0

Solving for variable 'p'.

Factor a trinomial.
(p + q)(p + q) = 0

Subproblem 1

Set the factor '(p + q)' equal to zero and attempt to solve: Simplifying p + q = 0 Solving p + q = 0 Move all terms containing p to the left, all other terms to the right. Add '-1q' to each side of the equation. p + q + -1q = 0 + -1q Combine like terms: q + -1q = 0 p + 0 = 0 + -1q p = 0 + -1q Remove the zero: p = -1q Simplifying p = -1q

Subproblem 2

Set the factor '(p + q)' equal to zero and attempt to solve: Simplifying p + q = 0 Solving p + q = 0 Move all terms containing p to the left, all other terms to the right. Add '-1q' to each side of the equation. p + q + -1q = 0 + -1q Combine like terms: q + -1q = 0 p + 0 = 0 + -1q p = 0 + -1q Remove the zero: p = -1q Simplifying p = -1q

Solution

p = {-1q, -1q}

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