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Simplifying (p + -8)(p + -4) = 0 Reorder the terms: (-8 + p)(p + -4) = 0 Reorder the terms: (-8 + p)(-4 + p) = 0 Multiply (-8 + p) * (-4 + p) (-8(-4 + p) + p(-4 + p)) = 0 ((-4 * -8 + p * -8) + p(-4 + p)) = 0 ((32 + -8p) + p(-4 + p)) = 0 (32 + -8p + (-4 * p + p * p)) = 0 (32 + -8p + (-4p + p2)) = 0 Combine like terms: -8p + -4p = -12p (32 + -12p + p2) = 0 Solving 32 + -12p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (4 + -1p)(8 + -1p) = 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 '(8 + -1p)' equal to zero and attempt to solve: Simplifying 8 + -1p = 0 Solving 8 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1p = 0 + -8 -1p = 0 + -8 Combine like terms: 0 + -8 = -8 -1p = -8 Divide each side by '-1'. p = 8 Simplifying p = 8Solution
p = {4, 8}
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