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Simplifying 12p2 = -16p Solving 12p2 = -16p Solving for variable 'p'. Reorder the terms: 16p + 12p2 = -16p + 16p Combine like terms: -16p + 16p = 0 16p + 12p2 = 0 Factor out the Greatest Common Factor (GCF), '4p'. 4p(4 + 3p) = 0 Ignore the factor 4.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 = 0Subproblem 2
Set the factor '(4 + 3p)' equal to zero and attempt to solve: Simplifying 4 + 3p = 0 Solving 4 + 3p = 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 + 3p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3p = 0 + -4 3p = 0 + -4 Combine like terms: 0 + -4 = -4 3p = -4 Divide each side by '3'. p = -1.333333333 Simplifying p = -1.333333333Solution
p = {0, -1.333333333}
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