p^2=-7p

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Solution for p^2=-7p equation:


Simplifying
p2 = -7p

Solving
p2 = -7p

Solving for variable 'p'.

Reorder the terms:
7p + p2 = -7p + 7p

Combine like terms: -7p + 7p = 0
7p + p2 = 0

Factor out the Greatest Common Factor (GCF), 'p'.
p(7 + 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 '(7 + p)' equal to zero and attempt to solve: Simplifying 7 + p = 0 Solving 7 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + p = 0 + -7 p = 0 + -7 Combine like terms: 0 + -7 = -7 p = -7 Simplifying p = -7

Solution

p = {0, -7}

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