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Simplifying -6p2 + -31p + -5 = 0 Reorder the terms: -5 + -31p + -6p2 = 0 Solving -5 + -31p + -6p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '-1'. -1(5 + 31p + 6p2) = 0 Factor a trinomial. -1((5 + p)(1 + 6p)) = 0 Ignore the factor -1.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 = -5Subproblem 2
Set the factor '(1 + 6p)' equal to zero and attempt to solve: Simplifying 1 + 6p = 0 Solving 1 + 6p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6p = 0 + -1 6p = 0 + -1 Combine like terms: 0 + -1 = -1 6p = -1 Divide each side by '6'. p = -0.1666666667 Simplifying p = -0.1666666667Solution
p = {-5, -0.1666666667}
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