12p^2=-30p

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Solution for 12p^2=-30p equation:


Simplifying
12p2 = -30p

Solving
12p2 = -30p

Solving for variable 'p'.

Reorder the terms:
30p + 12p2 = -30p + 30p

Combine like terms: -30p + 30p = 0
30p + 12p2 = 0

Factor out the Greatest Common Factor (GCF), '6p'.
6p(5 + 2p) = 0

Ignore the factor 6.

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 '(5 + 2p)' equal to zero and attempt to solve: Simplifying 5 + 2p = 0 Solving 5 + 2p = 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 + 2p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2p = 0 + -5 2p = 0 + -5 Combine like terms: 0 + -5 = -5 2p = -5 Divide each side by '2'. p = -2.5 Simplifying p = -2.5

Solution

p = {0, -2.5}

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