2p^2+18p+40=0

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Solution for 2p^2+18p+40=0 equation:


Simplifying
2p2 + 18p + 40 = 0

Reorder the terms:
40 + 18p + 2p2 = 0

Solving
40 + 18p + 2p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + 9p + p2) = 0

Factor a trinomial.
2((5 + p)(4 + p)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(5 + p)' equal to zero and attempt to solve: Simplifying 5 + p = 0 Solving 5 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + p = 0 + -5 p = 0 + -5 Combine like terms: 0 + -5 = -5 p = -5 Simplifying p = -5

Subproblem 2

Set the factor '(4 + p)' equal to zero and attempt to solve: Simplifying 4 + p = 0 Solving 4 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + p = 0 + -4 p = 0 + -4 Combine like terms: 0 + -4 = -4 p = -4 Simplifying p = -4

Solution

p = {-5, -4}

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