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Simplifying 2p8 + 5p4q + -12q2 = 0 Reorder the terms: 5p4q + 2p8 + -12q2 = 0 Solving 5p4q + 2p8 + -12q2 = 0 Solving for variable 'p'. Factor a trinomial. (2p4 + -3q)(p4 + 4q) = 0Subproblem 1
Set the factor '(2p4 + -3q)' equal to zero and attempt to solve: Simplifying 2p4 + -3q = 0 Solving 2p4 + -3q = 0 Move all terms containing p to the left, all other terms to the right. Add '3q' to each side of the equation. 2p4 + -3q + 3q = 0 + 3q Combine like terms: -3q + 3q = 0 2p4 + 0 = 0 + 3q 2p4 = 0 + 3q Remove the zero: 2p4 = 3q Divide each side by '2'. p4 = 1.5q Simplifying p4 = 1.5q 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 '(p4 + 4q)' equal to zero and attempt to solve: Simplifying p4 + 4q = 0 Solving p4 + 4q = 0 Move all terms containing p to the left, all other terms to the right. Add '-4q' to each side of the equation. p4 + 4q + -4q = 0 + -4q Combine like terms: 4q + -4q = 0 p4 + 0 = 0 + -4q p4 = 0 + -4q Remove the zero: p4 = -4q Simplifying p4 = -4q The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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