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Simplifying (2p + 3)(2p + 3) = 0 Reorder the terms: (3 + 2p)(2p + 3) = 0 Reorder the terms: (3 + 2p)(3 + 2p) = 0 Multiply (3 + 2p) * (3 + 2p) (3(3 + 2p) + 2p * (3 + 2p)) = 0 ((3 * 3 + 2p * 3) + 2p * (3 + 2p)) = 0 ((9 + 6p) + 2p * (3 + 2p)) = 0 (9 + 6p + (3 * 2p + 2p * 2p)) = 0 (9 + 6p + (6p + 4p2)) = 0 Combine like terms: 6p + 6p = 12p (9 + 12p + 4p2) = 0 Solving 9 + 12p + 4p2 = 0 Solving for variable 'p'. Factor a trinomial. (3 + 2p)(3 + 2p) = 0Subproblem 1
Set the factor '(3 + 2p)' equal to zero and attempt to solve: Simplifying 3 + 2p = 0 Solving 3 + 2p = 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 + 2p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2p = 0 + -3 2p = 0 + -3 Combine like terms: 0 + -3 = -3 2p = -3 Divide each side by '2'. p = -1.5 Simplifying p = -1.5Subproblem 2
Set the factor '(3 + 2p)' equal to zero and attempt to solve: Simplifying 3 + 2p = 0 Solving 3 + 2p = 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 + 2p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2p = 0 + -3 2p = 0 + -3 Combine like terms: 0 + -3 = -3 2p = -3 Divide each side by '2'. p = -1.5 Simplifying p = -1.5Solution
p = {-1.5, -1.5}
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