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Simplifying p4 + -30p2q + 81q2 = 0 Reorder the terms: -30p2q + p4 + 81q2 = 0 Solving -30p2q + p4 + 81q2 = 0 Solving for variable 'p'. Factor a trinomial. (p2 + -27q)(p2 + -3q) = 0Subproblem 1
Set the factor '(p2 + -27q)' equal to zero and attempt to solve: Simplifying p2 + -27q = 0 Solving p2 + -27q = 0 Move all terms containing p to the left, all other terms to the right. Add '27q' to each side of the equation. p2 + -27q + 27q = 0 + 27q Combine like terms: -27q + 27q = 0 p2 + 0 = 0 + 27q p2 = 0 + 27q Remove the zero: p2 = 27q Simplifying p2 = 27q 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 '(p2 + -3q)' equal to zero and attempt to solve: Simplifying p2 + -3q = 0 Solving p2 + -3q = 0 Move all terms containing p to the left, all other terms to the right. Add '3q' to each side of the equation. p2 + -3q + 3q = 0 + 3q Combine like terms: -3q + 3q = 0 p2 + 0 = 0 + 3q p2 = 0 + 3q Remove the zero: p2 = 3q Simplifying p2 = 3q 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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