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Simplifying 20p3q + -2p2q + -4pq = 0 Reorder the terms: -4pq + -2p2q + 20p3q = 0 Solving -4pq + -2p2q + 20p3q = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2pq'. 2pq(-2 + -1p + 10p2) = 0 Factor a trinomial. 2pq((-2 + -5p)(1 + -2p)) = 0 Ignore the factor 2.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 '(-2 + -5p)' equal to zero and attempt to solve: Simplifying -2 + -5p = 0 Solving -2 + -5p = 0 Move all terms containing p to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5p = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5p = 0 + 2 -5p = 0 + 2 Combine like terms: 0 + 2 = 2 -5p = 2 Divide each side by '-5'. p = -0.4 Simplifying p = -0.4Subproblem 3
Set the factor '(1 + -2p)' equal to zero and attempt to solve: Simplifying 1 + -2p = 0 Solving 1 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2p = 0 + -1 -2p = 0 + -1 Combine like terms: 0 + -1 = -1 -2p = -1 Divide each side by '-2'. p = 0.5 Simplifying p = 0.5Solution
p = {-0.4, 0.5}
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