2p^2+9p=0

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Solution for 2p^2+9p=0 equation:


Simplifying
2p2 + 9p = 0

Reorder the terms:
9p + 2p2 = 0

Solving
9p + 2p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(9 + 2p) = 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 '(9 + 2p)' equal to zero and attempt to solve: Simplifying 9 + 2p = 0 Solving 9 + 2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2p = 0 + -9 2p = 0 + -9 Combine like terms: 0 + -9 = -9 2p = -9 Divide each side by '2'. p = -4.5 Simplifying p = -4.5

Solution

p = {0, -4.5}

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