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Simplifying 2p2 + -4pq = 0 Reorder the terms: -4pq + 2p2 = 0 Solving -4pq + 2p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2p'. 2p(-2q + p) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0Subproblem 2
Set the factor '(-2q + p)' equal to zero and attempt to solve: Simplifying -2q + p = 0 Reorder the terms: p + -2q = 0 Solving p + -2q = 0 Move all terms containing p to the left, all other terms to the right. Add '2q' to each side of the equation. p + -2q + 2q = 0 + 2q Combine like terms: -2q + 2q = 0 p + 0 = 0 + 2q p = 0 + 2q Remove the zero: p = 2q Simplifying p = 2qSolution
p = {0, 2q}
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