12p^2+108p-264=0

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Solution for 12p^2+108p-264=0 equation:


Simplifying
12p2 + 108p + -264 = 0

Reorder the terms:
-264 + 108p + 12p2 = 0

Solving
-264 + 108p + 12p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '12'.
12(-22 + 9p + p2) = 0

Factor a trinomial.
12((-11 + -1p)(2 + -1p)) = 0

Ignore the factor 12.

Subproblem 1

Set the factor '(-11 + -1p)' equal to zero and attempt to solve: Simplifying -11 + -1p = 0 Solving -11 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1p = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1p = 0 + 11 -1p = 0 + 11 Combine like terms: 0 + 11 = 11 -1p = 11 Divide each side by '-1'. p = -11 Simplifying p = -11

Subproblem 2

Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 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 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2

Solution

p = {-11, 2}

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