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Simplifying 144p2 + 24pq + q2 = 0 Reorder the terms: 24pq + 144p2 + q2 = 0 Solving 24pq + 144p2 + q2 = 0 Solving for variable 'p'. Factor a trinomial. (12p + q)(12p + q) = 0Subproblem 1
Set the factor '(12p + q)' equal to zero and attempt to solve: Simplifying 12p + q = 0 Solving 12p + q = 0 Move all terms containing p to the left, all other terms to the right. Add '-1q' to each side of the equation. 12p + q + -1q = 0 + -1q Combine like terms: q + -1q = 0 12p + 0 = 0 + -1q 12p = 0 + -1q Remove the zero: 12p = -1q Divide each side by '12'. p = -0.08333333333q Simplifying p = -0.08333333333qSubproblem 2
Set the factor '(12p + q)' equal to zero and attempt to solve: Simplifying 12p + q = 0 Solving 12p + q = 0 Move all terms containing p to the left, all other terms to the right. Add '-1q' to each side of the equation. 12p + q + -1q = 0 + -1q Combine like terms: q + -1q = 0 12p + 0 = 0 + -1q 12p = 0 + -1q Remove the zero: 12p = -1q Divide each side by '12'. p = -0.08333333333q Simplifying p = -0.08333333333qSolution
p = {-0.08333333333q, -0.08333333333q}
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