x^2+2xp+p^2=0

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Solution for x^2+2xp+p^2=0 equation:


Simplifying
x2 + 2xp + p2 = 0

Reorder the terms:
2px + p2 + x2 = 0

Solving
2px + p2 + x2 = 0

Solving for variable 'p'.

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

Subproblem 1

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

Subproblem 2

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

Solution

p = {-1x, -1x}

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