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Simplifying p2 + 6p = 16p + -25 Reorder the terms: 6p + p2 = 16p + -25 Reorder the terms: 6p + p2 = -25 + 16p Solving 6p + p2 = -25 + 16p Solving for variable 'p'. Reorder the terms: 25 + 6p + -16p + p2 = -25 + 16p + 25 + -16p Combine like terms: 6p + -16p = -10p 25 + -10p + p2 = -25 + 16p + 25 + -16p Reorder the terms: 25 + -10p + p2 = -25 + 25 + 16p + -16p Combine like terms: -25 + 25 = 0 25 + -10p + p2 = 0 + 16p + -16p 25 + -10p + p2 = 16p + -16p Combine like terms: 16p + -16p = 0 25 + -10p + p2 = 0 Factor a trinomial. (5 + -1p)(5 + -1p) = 0Subproblem 1
Set the factor '(5 + -1p)' equal to zero and attempt to solve: Simplifying 5 + -1p = 0 Solving 5 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1p = 0 + -5 -1p = 0 + -5 Combine like terms: 0 + -5 = -5 -1p = -5 Divide each side by '-1'. p = 5 Simplifying p = 5Subproblem 2
Set the factor '(5 + -1p)' equal to zero and attempt to solve: Simplifying 5 + -1p = 0 Solving 5 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1p = 0 + -5 -1p = 0 + -5 Combine like terms: 0 + -5 = -5 -1p = -5 Divide each side by '-1'. p = 5 Simplifying p = 5Solution
p = {5, 5}
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