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Simplifying 3p2 + 13p + 10 = 0 Reorder the terms: 10 + 13p + 3p2 = 0 Solving 10 + 13p + 3p2 = 0 Solving for variable 'p'. Factor a trinomial. (10 + 3p)(1 + p) = 0Subproblem 1
Set the factor '(10 + 3p)' equal to zero and attempt to solve: Simplifying 10 + 3p = 0 Solving 10 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3p = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3p = 0 + -10 3p = 0 + -10 Combine like terms: 0 + -10 = -10 3p = -10 Divide each side by '3'. p = -3.333333333 Simplifying p = -3.333333333Subproblem 2
Set the factor '(1 + p)' equal to zero and attempt to solve: Simplifying 1 + p = 0 Solving 1 + p = 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 + p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + p = 0 + -1 p = 0 + -1 Combine like terms: 0 + -1 = -1 p = -1 Simplifying p = -1Solution
p = {-3.333333333, -1}
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