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Simplifying p = 3p * 3q Reorder the terms for easier multiplication: p = 3 * 3p * q Multiply 3 * 3 p = 9p * q Multiply p * q p = 9pq Solving p = 9pq Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9pq' to each side of the equation. p + -9pq = 9pq + -9pq Combine like terms: 9pq + -9pq = 0 p + -9pq = 0 Factor out the Greatest Common Factor (GCF), 'p'. p(1 + -9q) = 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 + -9q)' equal to zero and attempt to solve: Simplifying 1 + -9q = 0 Solving 1 + -9q = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -9q = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9q = 0 + -1 -9q = 0 + -1 Combine like terms: 0 + -1 = -1 -9q = -1 Add '9q' to each side of the equation. -9q + 9q = -1 + 9q Combine like terms: -9q + 9q = 0 0 = -1 + 9q Simplifying 0 = -1 + 9q The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
p = {0}
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