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Simplifying p2 = -15p + -50 Reorder the terms: p2 = -50 + -15p Solving p2 = -50 + -15p Solving for variable 'p'. Reorder the terms: 50 + 15p + p2 = -50 + -15p + 50 + 15p Reorder the terms: 50 + 15p + p2 = -50 + 50 + -15p + 15p Combine like terms: -50 + 50 = 0 50 + 15p + p2 = 0 + -15p + 15p 50 + 15p + p2 = -15p + 15p Combine like terms: -15p + 15p = 0 50 + 15p + p2 = 0 Factor a trinomial. (10 + p)(5 + p) = 0Subproblem 1
Set the factor '(10 + p)' equal to zero and attempt to solve: Simplifying 10 + p = 0 Solving 10 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + p = 0 + -10 Combine like terms: 10 + -10 = 0 0 + p = 0 + -10 p = 0 + -10 Combine like terms: 0 + -10 = -10 p = -10 Simplifying p = -10Subproblem 2
Set the factor '(5 + p)' equal to zero and attempt to solve: Simplifying 5 + p = 0 Solving 5 + p = 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 + p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + p = 0 + -5 p = 0 + -5 Combine like terms: 0 + -5 = -5 p = -5 Simplifying p = -5Solution
p = {-10, -5}
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