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Simplifying (p + 13)(p + -4) = 0 Reorder the terms: (13 + p)(p + -4) = 0 Reorder the terms: (13 + p)(-4 + p) = 0 Multiply (13 + p) * (-4 + p) (13(-4 + p) + p(-4 + p)) = 0 ((-4 * 13 + p * 13) + p(-4 + p)) = 0 ((-52 + 13p) + p(-4 + p)) = 0 (-52 + 13p + (-4 * p + p * p)) = 0 (-52 + 13p + (-4p + p2)) = 0 Combine like terms: 13p + -4p = 9p (-52 + 9p + p2) = 0 Solving -52 + 9p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (-13 + -1p)(4 + -1p) = 0Subproblem 1
Set the factor '(-13 + -1p)' equal to zero and attempt to solve: Simplifying -13 + -1p = 0 Solving -13 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1p = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1p = 0 + 13 -1p = 0 + 13 Combine like terms: 0 + 13 = 13 -1p = 13 Divide each side by '-1'. p = -13 Simplifying p = -13Subproblem 2
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 = 4Solution
p = {-13, 4}
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