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Simplifying (-1p + 8)(-1p + 8) = 0 Reorder the terms: (8 + -1p)(-1p + 8) = 0 Reorder the terms: (8 + -1p)(8 + -1p) = 0 Multiply (8 + -1p) * (8 + -1p) (8(8 + -1p) + -1p * (8 + -1p)) = 0 ((8 * 8 + -1p * 8) + -1p * (8 + -1p)) = 0 ((64 + -8p) + -1p * (8 + -1p)) = 0 (64 + -8p + (8 * -1p + -1p * -1p)) = 0 (64 + -8p + (-8p + 1p2)) = 0 Combine like terms: -8p + -8p = -16p (64 + -16p + 1p2) = 0 Solving 64 + -16p + 1p2 = 0 Solving for variable 'p'. Factor a trinomial. (8 + -1p)(8 + -1p) = 0Subproblem 1
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 = 8Subproblem 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 = {8, 8}
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