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Simplifying 6p2 = -31p Solving 6p2 = -31p Solving for variable 'p'. Reorder the terms: 31p + 6p2 = -31p + 31p Combine like terms: -31p + 31p = 0 31p + 6p2 = 0 Factor out the Greatest Common Factor (GCF), 'p'. p(31 + 6p) = 0Subproblem 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 '(31 + 6p)' equal to zero and attempt to solve: Simplifying 31 + 6p = 0 Solving 31 + 6p = 0 Move all terms containing p to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 6p = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 6p = 0 + -31 6p = 0 + -31 Combine like terms: 0 + -31 = -31 6p = -31 Divide each side by '6'. p = -5.166666667 Simplifying p = -5.166666667Solution
p = {0, -5.166666667}
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