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