p^2=-11p

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Solution for p^2=-11p equation:


Simplifying
p2 = -11p

Solving
p2 = -11p

Solving for variable 'p'.

Reorder the terms:
11p + p2 = -11p + 11p

Combine like terms: -11p + 11p = 0
11p + p2 = 0

Factor out the Greatest Common Factor (GCF), 'p'.
p(11 + p) = 0

Subproblem 1

Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0

Subproblem 2

Set the factor '(11 + p)' equal to zero and attempt to solve: Simplifying 11 + p = 0 Solving 11 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + p = 0 + -11 Combine like terms: 11 + -11 = 0 0 + p = 0 + -11 p = 0 + -11 Combine like terms: 0 + -11 = -11 p = -11 Simplifying p = -11

Solution

p = {0, -11}

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