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