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Simplifying 2p6 + -12p5 + 16p4 = 0 Reorder the terms: 16p4 + -12p5 + 2p6 = 0 Solving 16p4 + -12p5 + 2p6 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2p4'. 2p4(8 + -6p + p2) = 0 Factor a trinomial. 2p4((2 + -1p)(4 + -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 '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2Subproblem 3
Set the factor '(4 + -1p)' equal to zero and attempt to solve: Simplifying 4 + -1p = 0 Solving 4 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1p = 0 + -4 -1p = 0 + -4 Combine like terms: 0 + -4 = -4 -1p = -4 Divide each side by '-1'. p = 4 Simplifying p = 4Solution
p = {2, 4}
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