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Simplifying p7 + 10p6 + 9p5 = 0 Reorder the terms: 9p5 + 10p6 + p7 = 0 Solving 9p5 + 10p6 + p7 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p5'. p5(9 + 10p + p2) = 0 Factor a trinomial. p5((9 + p)(1 + p)) = 0Subproblem 1
Set the factor 'p5' equal to zero and attempt to solve: Simplifying p5 = 0 Solving p5 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(9 + p)' equal to zero and attempt to solve: Simplifying 9 + p = 0 Solving 9 + p = 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 + p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + p = 0 + -9 p = 0 + -9 Combine like terms: 0 + -9 = -9 p = -9 Simplifying p = -9Subproblem 3
Set the factor '(1 + p)' equal to zero and attempt to solve: Simplifying 1 + p = 0 Solving 1 + p = 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 + p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + p = 0 + -1 p = 0 + -1 Combine like terms: 0 + -1 = -1 p = -1 Simplifying p = -1Solution
p = {-9, -1}
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