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Simplifying 3p2 = -10p + -3 Reorder the terms: 3p2 = -3 + -10p Solving 3p2 = -3 + -10p Solving for variable 'p'. Reorder the terms: 3 + 10p + 3p2 = -3 + -10p + 3 + 10p Reorder the terms: 3 + 10p + 3p2 = -3 + 3 + -10p + 10p Combine like terms: -3 + 3 = 0 3 + 10p + 3p2 = 0 + -10p + 10p 3 + 10p + 3p2 = -10p + 10p Combine like terms: -10p + 10p = 0 3 + 10p + 3p2 = 0 Factor a trinomial. (3 + p)(1 + 3p) = 0Subproblem 1
Set the factor '(3 + p)' equal to zero and attempt to solve: Simplifying 3 + p = 0 Solving 3 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + p = 0 + -3 p = 0 + -3 Combine like terms: 0 + -3 = -3 p = -3 Simplifying p = -3Subproblem 2
Set the factor '(1 + 3p)' equal to zero and attempt to solve: Simplifying 1 + 3p = 0 Solving 1 + 3p = 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 + 3p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3p = 0 + -1 3p = 0 + -1 Combine like terms: 0 + -1 = -1 3p = -1 Divide each side by '3'. p = -0.3333333333 Simplifying p = -0.3333333333Solution
p = {-3, -0.3333333333}
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