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Simplifying 2pq(5(p2)(q4) + 3pq + -6p) = 0 Multiply p2 * q4 2pq(5p2q4 + 3pq + -6p) = 0 Reorder the terms: 2pq(-6p + 3pq + 5p2q4) = 0 (-6p * 2pq + 3pq * 2pq + 5p2q4 * 2pq) = 0 (-12p2q + 6p2q2 + 10p3q5) = 0 Solving -12p2q + 6p2q2 + 10p3q5 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2p2q'. 2p2q(-6 + 3q + 5pq4) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'p2q' equal to zero and attempt to solve: Simplifying p2q = 0 Solving p2q = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p2q = 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 '(-6 + 3q + 5pq4)' equal to zero and attempt to solve: Simplifying -6 + 3q + 5pq4 = 0 Reorder the terms: -6 + 5pq4 + 3q = 0 Solving -6 + 5pq4 + 3q = 0 Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 5pq4 + 6 + 3q = 0 + 6 Reorder the terms: -6 + 6 + 5pq4 + 3q = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5pq4 + 3q = 0 + 6 5pq4 + 3q = 0 + 6 Combine like terms: 0 + 6 = 6 5pq4 + 3q = 6 Add '-3q' to each side of the equation. 5pq4 + 3q + -3q = 6 + -3q Combine like terms: 3q + -3q = 0 5pq4 + 0 = 6 + -3q 5pq4 = 6 + -3q Divide each side by '5q4'. p = 1.2q-4 + -0.6q-3 Simplifying p = 1.2q-4 + -0.6q-3Solution
p = {1.2q-4 + -0.6q-3}
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