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Simplifying 81p4 + -126p3 + 49p2 = 0 Reorder the terms: 49p2 + -126p3 + 81p4 = 0 Solving 49p2 + -126p3 + 81p4 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p2'. p2(49 + -126p + 81p2) = 0 Factor a trinomial. p2((7 + -9p)(7 + -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 '(7 + -9p)' equal to zero and attempt to solve: Simplifying 7 + -9p = 0 Solving 7 + -9p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9p = 0 + -7 -9p = 0 + -7 Combine like terms: 0 + -7 = -7 -9p = -7 Divide each side by '-9'. p = 0.7777777778 Simplifying p = 0.7777777778Subproblem 3
Set the factor '(7 + -9p)' equal to zero and attempt to solve: Simplifying 7 + -9p = 0 Solving 7 + -9p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9p = 0 + -7 -9p = 0 + -7 Combine like terms: 0 + -7 = -7 -9p = -7 Divide each side by '-9'. p = 0.7777777778 Simplifying p = 0.7777777778Solution
p = {0, 0.7777777778, 0.7777777778}
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