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Simplifying 4pq + -14q2 + -16pq2 = 0 Reorder the terms: 4pq + -16pq2 + -14q2 = 0 Solving 4pq + -16pq2 + -14q2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14q2' to each side of the equation. 4pq + -16pq2 + -14q2 + 14q2 = 0 + 14q2 Combine like terms: -14q2 + 14q2 = 0 4pq + -16pq2 + 0 = 0 + 14q2 4pq + -16pq2 = 0 + 14q2 Remove the zero: 4pq + -16pq2 = 14q2 Combine like terms: 14q2 + -14q2 = 0 4pq + -16pq2 + -14q2 = 0 Factor out the Greatest Common Factor (GCF), '2q'. 2q(2p + -8pq + -7q) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'q' equal to zero and attempt to solve: Simplifying q = 0 Solving q = 0 Move all terms containing p to the left, all other terms to the right. Add '-1q' to each side of the equation. q + -1q = 0 + -1q Remove the zero: 0 = -1q Simplifying 0 = -1q 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 '(2p + -8pq + -7q)' equal to zero and attempt to solve: Simplifying 2p + -8pq + -7q = 0 Solving 2p + -8pq + -7q = 0 Move all terms containing p to the left, all other terms to the right. Add '7q' to each side of the equation. 2p + -8pq + -7q + 7q = 0 + 7q Combine like terms: -7q + 7q = 0 2p + -8pq + 0 = 0 + 7q 2p + -8pq = 0 + 7q Remove the zero: 2p + -8pq = 7q 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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