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Simplifying 3p2 + -34pq + -24q2 = 0 Reorder the terms: -34pq + 3p2 + -24q2 = 0 Solving -34pq + 3p2 + -24q2 = 0 Solving for variable 'p'. Factor a trinomial. (p + -12q)(3p + 2q) = 0Subproblem 1
Set the factor '(p + -12q)' equal to zero and attempt to solve: Simplifying p + -12q = 0 Solving p + -12q = 0 Move all terms containing p to the left, all other terms to the right. Add '12q' to each side of the equation. p + -12q + 12q = 0 + 12q Combine like terms: -12q + 12q = 0 p + 0 = 0 + 12q p = 0 + 12q Remove the zero: p = 12q Simplifying p = 12qSubproblem 2
Set the factor '(3p + 2q)' equal to zero and attempt to solve: Simplifying 3p + 2q = 0 Solving 3p + 2q = 0 Move all terms containing p to the left, all other terms to the right. Add '-2q' to each side of the equation. 3p + 2q + -2q = 0 + -2q Combine like terms: 2q + -2q = 0 3p + 0 = 0 + -2q 3p = 0 + -2q Remove the zero: 3p = -2q Divide each side by '3'. p = -0.6666666667q Simplifying p = -0.6666666667qSolution
p = {12q, -0.6666666667q}
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