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Simplifying 2p6 + -26p5 + 84p4 = 0 Reorder the terms: 84p4 + -26p5 + 2p6 = 0 Solving 84p4 + -26p5 + 2p6 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2p4'. 2p4(42 + -13p + p2) = 0 Factor a trinomial. 2p4((6 + -1p)(7 + -1p)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'p4' equal to zero and attempt to solve: Simplifying p4 = 0 Solving p4 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p4 = 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 '(6 + -1p)' equal to zero and attempt to solve: Simplifying 6 + -1p = 0 Solving 6 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1p = 0 + -6 -1p = 0 + -6 Combine like terms: 0 + -6 = -6 -1p = -6 Divide each side by '-1'. p = 6 Simplifying p = 6Subproblem 3
Set the factor '(7 + -1p)' equal to zero and attempt to solve: Simplifying 7 + -1p = 0 Solving 7 + -1p = 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 + -1p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = 0 + -7 -1p = 0 + -7 Combine like terms: 0 + -7 = -7 -1p = -7 Divide each side by '-1'. p = 7 Simplifying p = 7Solution
p = {6, 7}
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