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Simplifying 3p2q2 + 6pq + p = 0 Reorder the terms: p + 6pq + 3p2q2 = 0 Solving p + 6pq + 3p2q2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(1 + 6q + 3pq2) = 0Subproblem 1
Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0Subproblem 2
Set the factor '(1 + 6q + 3pq2)' equal to zero and attempt to solve: Simplifying 1 + 6q + 3pq2 = 0 Reorder the terms: 1 + 3pq2 + 6q = 0 Solving 1 + 3pq2 + 6q = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3pq2 + -1 + 6q = 0 + -1 Reorder the terms: 1 + -1 + 3pq2 + 6q = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3pq2 + 6q = 0 + -1 3pq2 + 6q = 0 + -1 Combine like terms: 0 + -1 = -1 3pq2 + 6q = -1 Add '-6q' to each side of the equation. 3pq2 + 6q + -6q = -1 + -6q Combine like terms: 6q + -6q = 0 3pq2 + 0 = -1 + -6q 3pq2 = -1 + -6q Divide each side by '3q2'. p = -0.3333333333q-2 + -2q-1 Simplifying p = -0.3333333333q-2 + -2q-1Solution
p = {0, -0.3333333333q-2 + -2q-1}
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