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Simplifying 3p(q + -6) + 4p = 0 Reorder the terms: 3p(-6 + q) + 4p = 0 (-6 * 3p + q * 3p) + 4p = 0 (-18p + 3pq) + 4p = 0 Reorder the terms: -18p + 4p + 3pq = 0 Combine like terms: -18p + 4p = -14p -14p + 3pq = 0 Solving -14p + 3pq = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'p'. p(-14 + 3q) = 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 '(-14 + 3q)' equal to zero and attempt to solve: Simplifying -14 + 3q = 0 Solving -14 + 3q = 0 Move all terms containing p to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 3q = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3q = 0 + 14 3q = 0 + 14 Combine like terms: 0 + 14 = 14 3q = 14 Add '-3q' to each side of the equation. 3q + -3q = 14 + -3q Combine like terms: 3q + -3q = 0 0 = 14 + -3q Simplifying 0 = 14 + -3q 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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