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Simplifying (3p + -1)(3p + -1) = 0 Reorder the terms: (-1 + 3p)(3p + -1) = 0 Reorder the terms: (-1 + 3p)(-1 + 3p) = 0 Multiply (-1 + 3p) * (-1 + 3p) (-1(-1 + 3p) + 3p * (-1 + 3p)) = 0 ((-1 * -1 + 3p * -1) + 3p * (-1 + 3p)) = 0 ((1 + -3p) + 3p * (-1 + 3p)) = 0 (1 + -3p + (-1 * 3p + 3p * 3p)) = 0 (1 + -3p + (-3p + 9p2)) = 0 Combine like terms: -3p + -3p = -6p (1 + -6p + 9p2) = 0 Solving 1 + -6p + 9p2 = 0 Solving for variable 'p'. Factor a trinomial. (1 + -3p)(1 + -3p) = 0Subproblem 1
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 = 0.3333333333Subproblem 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 = {0.3333333333, 0.3333333333}
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