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Simplifying 5p2 + -25pq + -70q2 = 0 Reorder the terms: -25pq + 5p2 + -70q2 = 0 Solving -25pq + 5p2 + -70q2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '5'. 5(-5pq + p2 + -14q2) = 0 Factor a trinomial. 5((p + -7q)(p + 2q)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(p + -7q)' equal to zero and attempt to solve: Simplifying p + -7q = 0 Solving p + -7q = 0 Move all terms containing p to the left, all other terms to the right. Add '7q' to each side of the equation. p + -7q + 7q = 0 + 7q Combine like terms: -7q + 7q = 0 p + 0 = 0 + 7q p = 0 + 7q Remove the zero: p = 7q Simplifying p = 7qSubproblem 2
Set the factor '(p + 2q)' equal to zero and attempt to solve: Simplifying 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 = {7q, -2q}
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