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Simplifying 3p2q + 15pq2 + -12pq = 0 Reorder the terms: -12pq + 15pq2 + 3p2q = 0 Solving -12pq + 15pq2 + 3p2q = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3pq'. 3pq(-4 + 5q + p) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'pq' equal to zero and attempt to solve: Simplifying pq = 0 Solving pq = 0 Move all terms containing p to the left, all other terms to the right. Simplifying pq = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-4 + 5q + p)' equal to zero and attempt to solve: Simplifying -4 + 5q + p = 0 Reorder the terms: -4 + p + 5q = 0 Solving -4 + p + 5q = 0 Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + p + 4 + 5q = 0 + 4 Reorder the terms: -4 + 4 + p + 5q = 0 + 4 Combine like terms: -4 + 4 = 0 0 + p + 5q = 0 + 4 p + 5q = 0 + 4 Combine like terms: 0 + 4 = 4 p + 5q = 4 Add '-5q' to each side of the equation. p + 5q + -5q = 4 + -5q Combine like terms: 5q + -5q = 0 p + 0 = 4 + -5q p = 4 + -5q Simplifying p = 4 + -5qSolution
p = {4 + -5q}
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