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Simplifying 3p2 = 4 + -11p Solving 3p2 = 4 + -11p Solving for variable 'p'. Reorder the terms: -4 + 11p + 3p2 = 4 + -11p + -4 + 11p Reorder the terms: -4 + 11p + 3p2 = 4 + -4 + -11p + 11p Combine like terms: 4 + -4 = 0 -4 + 11p + 3p2 = 0 + -11p + 11p -4 + 11p + 3p2 = -11p + 11p Combine like terms: -11p + 11p = 0 -4 + 11p + 3p2 = 0 Factor a trinomial. (-4 + -1p)(1 + -3p) = 0Subproblem 1
Set the factor '(-4 + -1p)' equal to zero and attempt to solve: Simplifying -4 + -1p = 0 Solving -4 + -1p = 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 + -1p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1p = 0 + 4 -1p = 0 + 4 Combine like terms: 0 + 4 = 4 -1p = 4 Divide each side by '-1'. p = -4 Simplifying p = -4Subproblem 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 = {-4, 0.3333333333}
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