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Simplifying Qp2 + -4qp + 5pq2 = 0 Reorder the terms: -4pq + 5pq2 + p2Q = 0 Solving -4pq + 5pq2 + p2Q = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(-4q + 5q2 + pQ) = 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 '(-4q + 5q2 + pQ)' equal to zero and attempt to solve: Simplifying -4q + 5q2 + pQ = 0 Reorder the terms: pQ + -4q + 5q2 = 0 Solving pQ + -4q + 5q2 = 0 Move all terms containing p to the left, all other terms to the right. Add '4q' to each side of the equation. pQ + -4q + 4q + 5q2 = 0 + 4q Combine like terms: -4q + 4q = 0 pQ + 0 + 5q2 = 0 + 4q pQ + 5q2 = 0 + 4q Remove the zero: pQ + 5q2 = 4q Add '-5q2' to each side of the equation. pQ + 5q2 + -5q2 = 4q + -5q2 Combine like terms: 5q2 + -5q2 = 0 pQ + 0 = 4q + -5q2 pQ = 4q + -5q2 Divide each side by 'Q'. p = 4qQ-1 + -5q2Q-1 Simplifying p = 4qQ-1 + -5q2Q-1Solution
p = {0, 4qQ-1 + -5q2Q-1}
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