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Simplifying 48p5q3 + -24p4q3 + 72p4q2 = 0 Reorder the terms: 72p4q2 + -24p4q3 + 48p5q3 = 0 Solving 72p4q2 + -24p4q3 + 48p5q3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '24p4q2'. 24p4q2(3 + -1q + 2pq) = 0 Ignore the factor 24.Subproblem 1
Set the factor 'p4q2' equal to zero and attempt to solve: Simplifying p4q2 = 0 Solving p4q2 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p4q2 = 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 '(3 + -1q + 2pq)' equal to zero and attempt to solve: Simplifying 3 + -1q + 2pq = 0 Reorder the terms: 3 + 2pq + -1q = 0 Solving 3 + 2pq + -1q = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2pq + -3 + -1q = 0 + -3 Reorder the terms: 3 + -3 + 2pq + -1q = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2pq + -1q = 0 + -3 2pq + -1q = 0 + -3 Combine like terms: 0 + -3 = -3 2pq + -1q = -3 Add 'q' to each side of the equation. 2pq + -1q + q = -3 + q Combine like terms: -1q + q = 0 2pq + 0 = -3 + q 2pq = -3 + q Divide each side by '2q'. p = -1.5q-1 + 0.5 Simplifying p = -1.5q-1 + 0.5 Reorder the terms: p = 0.5 + -1.5q-1Solution
p = {0.5 + -1.5q-1}
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