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Simplifying 81p4 + -234p3 + 169p2 = 0 Reorder the terms: 169p2 + -234p3 + 81p4 = 0 Solving 169p2 + -234p3 + 81p4 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p2'. p2(169 + -234p + 81p2) = 0 Factor a trinomial. p2((13 + -9p)(13 + -9p)) = 0Subproblem 1
Set the factor 'p2' equal to zero and attempt to solve: Simplifying p2 = 0 Solving p2 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p2 = 0 Take the square root of each side: p = {0}Subproblem 2
Set the factor '(13 + -9p)' equal to zero and attempt to solve: Simplifying 13 + -9p = 0 Solving 13 + -9p = 0 Move all terms containing p to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -9p = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -9p = 0 + -13 -9p = 0 + -13 Combine like terms: 0 + -13 = -13 -9p = -13 Divide each side by '-9'. p = 1.444444444 Simplifying p = 1.444444444Subproblem 3
Set the factor '(13 + -9p)' equal to zero and attempt to solve: Simplifying 13 + -9p = 0 Solving 13 + -9p = 0 Move all terms containing p to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -9p = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -9p = 0 + -13 -9p = 0 + -13 Combine like terms: 0 + -13 = -13 -9p = -13 Divide each side by '-9'. p = 1.444444444 Simplifying p = 1.444444444Solution
p = {0, 1.444444444, 1.444444444}
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