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Simplifying 9p2 + -44p + -5 = 0 Reorder the terms: -5 + -44p + 9p2 = 0 Solving -5 + -44p + 9p2 = 0 Solving for variable 'p'. Factor a trinomial. (-1 + -9p)(5 + -1p) = 0Subproblem 1
Set the factor '(-1 + -9p)' equal to zero and attempt to solve: Simplifying -1 + -9p = 0 Solving -1 + -9p = 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 + -9p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -9p = 0 + 1 -9p = 0 + 1 Combine like terms: 0 + 1 = 1 -9p = 1 Divide each side by '-9'. p = -0.1111111111 Simplifying p = -0.1111111111Subproblem 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 = {-0.1111111111, 5}
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