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Simplifying 12p2 + 13p + -4 = 0 Reorder the terms: -4 + 13p + 12p2 = 0 Solving -4 + 13p + 12p2 = 0 Solving for variable 'p'. Factor a trinomial. (-4 + -3p)(1 + -4p) = 0Subproblem 1
Set the factor '(-4 + -3p)' equal to zero and attempt to solve: Simplifying -4 + -3p = 0 Solving -4 + -3p = 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 + -3p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3p = 0 + 4 -3p = 0 + 4 Combine like terms: 0 + 4 = 4 -3p = 4 Divide each side by '-3'. p = -1.333333333 Simplifying p = -1.333333333Subproblem 2
Set the factor '(1 + -4p)' equal to zero and attempt to solve: Simplifying 1 + -4p = 0 Solving 1 + -4p = 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 + -4p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4p = 0 + -1 -4p = 0 + -1 Combine like terms: 0 + -1 = -1 -4p = -1 Divide each side by '-4'. p = 0.25 Simplifying p = 0.25Solution
p = {-1.333333333, 0.25}
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