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Simplifying p2 = 5p + 36 Reorder the terms: p2 = 36 + 5p Solving p2 = 36 + 5p Solving for variable 'p'. Reorder the terms: -36 + -5p + p2 = 36 + 5p + -36 + -5p Reorder the terms: -36 + -5p + p2 = 36 + -36 + 5p + -5p Combine like terms: 36 + -36 = 0 -36 + -5p + p2 = 0 + 5p + -5p -36 + -5p + p2 = 5p + -5p Combine like terms: 5p + -5p = 0 -36 + -5p + p2 = 0 Factor a trinomial. (-4 + -1p)(9 + -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 '(9 + -1p)' equal to zero and attempt to solve: Simplifying 9 + -1p = 0 Solving 9 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1p = 0 + -9 -1p = 0 + -9 Combine like terms: 0 + -9 = -9 -1p = -9 Divide each side by '-1'. p = 9 Simplifying p = 9Solution
p = {-4, 9}
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