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Simplifying p2 + -12pq + 36q2 = 0 Reorder the terms: -12pq + p2 + 36q2 = 0 Solving -12pq + p2 + 36q2 = 0 Solving for variable 'p'. Factor a trinomial. (p + -6q)(p + -6q) = 0Subproblem 1
Set the factor '(p + -6q)' equal to zero and attempt to solve: Simplifying p + -6q = 0 Solving p + -6q = 0 Move all terms containing p to the left, all other terms to the right. Add '6q' to each side of the equation. p + -6q + 6q = 0 + 6q Combine like terms: -6q + 6q = 0 p + 0 = 0 + 6q p = 0 + 6q Remove the zero: p = 6q Simplifying p = 6qSubproblem 2
Set the factor '(p + -6q)' equal to zero and attempt to solve: Simplifying p + -6q = 0 Solving p + -6q = 0 Move all terms containing p to the left, all other terms to the right. Add '6q' to each side of the equation. p + -6q + 6q = 0 + 6q Combine like terms: -6q + 6q = 0 p + 0 = 0 + 6q p = 0 + 6q Remove the zero: p = 6q Simplifying p = 6qSolution
p = {6q, 6q}
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