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Simplifying 2p2x2 + pqx + -15q2 = 0 Reorder the terms: pqx + 2p2x2 + -15q2 = 0 Solving pqx + 2p2x2 + -15q2 = 0 Solving for variable 'p'. Factor a trinomial. (2px + -5q)(px + 3q) = 0Subproblem 1
Set the factor '(2px + -5q)' equal to zero and attempt to solve: Simplifying 2px + -5q = 0 Solving 2px + -5q = 0 Move all terms containing p to the left, all other terms to the right. Add '5q' to each side of the equation. 2px + -5q + 5q = 0 + 5q Combine like terms: -5q + 5q = 0 2px + 0 = 0 + 5q 2px = 0 + 5q Remove the zero: 2px = 5q Divide each side by '2x'. p = 2.5qx-1 Simplifying p = 2.5qx-1Subproblem 2
Set the factor '(px + 3q)' equal to zero and attempt to solve: Simplifying px + 3q = 0 Solving px + 3q = 0 Move all terms containing p to the left, all other terms to the right. Add '-3q' to each side of the equation. px + 3q + -3q = 0 + -3q Combine like terms: 3q + -3q = 0 px + 0 = 0 + -3q px = 0 + -3q Remove the zero: px = -3q Divide each side by 'x'. p = -3qx-1 Simplifying p = -3qx-1Solution
p = {2.5qx-1, -3qx-1}
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