9p^2=-18p

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Solution for 9p^2=-18p equation:


Simplifying
9p2 = -18p

Solving
9p2 = -18p

Solving for variable 'p'.

Reorder the terms:
18p + 9p2 = -18p + 18p

Combine like terms: -18p + 18p = 0
18p + 9p2 = 0

Factor out the Greatest Common Factor (GCF), '9p'.
9p(2 + p) = 0

Ignore the factor 9.

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 '(2 + p)' equal to zero and attempt to solve: Simplifying 2 + p = 0 Solving 2 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + p = 0 + -2 p = 0 + -2 Combine like terms: 0 + -2 = -2 p = -2 Simplifying p = -2

Solution

p = {0, -2}

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