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Simplifying 45p3 + 365p2 + 40p = 0 Reorder the terms: 40p + 365p2 + 45p3 = 0 Solving 40p + 365p2 + 45p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '5p'. 5p(8 + 73p + 9p2) = 0 Factor a trinomial. 5p((8 + p)(1 + 9p)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0Subproblem 2
Set the factor '(8 + p)' equal to zero and attempt to solve: Simplifying 8 + p = 0 Solving 8 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + p = 0 + -8 p = 0 + -8 Combine like terms: 0 + -8 = -8 p = -8 Simplifying p = -8Subproblem 3
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 = -0.1111111111Solution
p = {0, -8, -0.1111111111}
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