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Simplifying (p + 3)(p + -3)(p + 3)(p + -3) = 0 Reorder the terms: (3 + p)(p + -3)(p + 3)(p + -3) = 0 Reorder the terms: (3 + p)(-3 + p)(p + 3)(p + -3) = 0 Reorder the terms: (3 + p)(-3 + p)(3 + p)(p + -3) = 0 Reorder the terms: (3 + p)(-3 + p)(3 + p)(-3 + p) = 0 Multiply (3 + p) * (-3 + p) (3(-3 + p) + p(-3 + p))(3 + p)(-3 + p) = 0 ((-3 * 3 + p * 3) + p(-3 + p))(3 + p)(-3 + p) = 0 ((-9 + 3p) + p(-3 + p))(3 + p)(-3 + p) = 0 (-9 + 3p + (-3 * p + p * p))(3 + p)(-3 + p) = 0 (-9 + 3p + (-3p + p2))(3 + p)(-3 + p) = 0 Combine like terms: 3p + -3p = 0 (-9 + 0 + p2)(3 + p)(-3 + p) = 0 (-9 + p2)(3 + p)(-3 + p) = 0 Multiply (-9 + p2) * (3 + p) (-9(3 + p) + p2(3 + p))(-3 + p) = 0 ((3 * -9 + p * -9) + p2(3 + p))(-3 + p) = 0 ((-27 + -9p) + p2(3 + p))(-3 + p) = 0 (-27 + -9p + (3 * p2 + p * p2))(-3 + p) = 0 (-27 + -9p + (3p2 + p3))(-3 + p) = 0 (-27 + -9p + 3p2 + p3)(-3 + p) = 0 Multiply (-27 + -9p + 3p2 + p3) * (-3 + p) (-27(-3 + p) + -9p * (-3 + p) + 3p2 * (-3 + p) + p3(-3 + p)) = 0 ((-3 * -27 + p * -27) + -9p * (-3 + p) + 3p2 * (-3 + p) + p3(-3 + p)) = 0 ((81 + -27p) + -9p * (-3 + p) + 3p2 * (-3 + p) + p3(-3 + p)) = 0 (81 + -27p + (-3 * -9p + p * -9p) + 3p2 * (-3 + p) + p3(-3 + p)) = 0 (81 + -27p + (27p + -9p2) + 3p2 * (-3 + p) + p3(-3 + p)) = 0 (81 + -27p + 27p + -9p2 + (-3 * 3p2 + p * 3p2) + p3(-3 + p)) = 0 (81 + -27p + 27p + -9p2 + (-9p2 + 3p3) + p3(-3 + p)) = 0 (81 + -27p + 27p + -9p2 + -9p2 + 3p3 + (-3 * p3 + p * p3)) = 0 (81 + -27p + 27p + -9p2 + -9p2 + 3p3 + (-3p3 + p4)) = 0 Combine like terms: -27p + 27p = 0 (81 + 0 + -9p2 + -9p2 + 3p3 + -3p3 + p4) = 0 (81 + -9p2 + -9p2 + 3p3 + -3p3 + p4) = 0 Combine like terms: -9p2 + -9p2 = -18p2 (81 + -18p2 + 3p3 + -3p3 + p4) = 0 Combine like terms: 3p3 + -3p3 = 0 (81 + -18p2 + 0 + p4) = 0 (81 + -18p2 + p4) = 0 Solving 81 + -18p2 + p4 = 0 Solving for variable 'p'. Factor a trinomial. (9 + -1p2)(9 + -1p2) = 0 Factor a difference between two squares. ((3 + p)(3 + -1p))(9 + -1p2) = 0 Factor a difference between two squares. ((3 + p)(3 + -1p))(3 + p)(3 + -1p) = 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 '(3 + -1p)' equal to zero and attempt to solve: Simplifying 3 + -1p = 0 Solving 3 + -1p = 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 + -1p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1p = 0 + -3 -1p = 0 + -3 Combine like terms: 0 + -3 = -3 -1p = -3 Divide each side by '-1'. p = 3 Simplifying p = 3Subproblem 3
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 4
Set the factor '(3 + -1p)' equal to zero and attempt to solve: Simplifying 3 + -1p = 0 Solving 3 + -1p = 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 + -1p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1p = 0 + -3 -1p = 0 + -3 Combine like terms: 0 + -3 = -3 -1p = -3 Divide each side by '-1'. p = 3 Simplifying p = 3Solution
p = {-3, 3, -3, 3}
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