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Simplifying q2 + 2p2 = 100 Reorder the terms: 2p2 + q2 = 100 Solving 2p2 + q2 = 100 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1q2' to each side of the equation. 2p2 + q2 + -1q2 = 100 + -1q2 Combine like terms: q2 + -1q2 = 0 2p2 + 0 = 100 + -1q2 2p2 = 100 + -1q2 Divide each side by '2'. p2 = 50 + -0.5q2 Simplifying p2 = 50 + -0.5q2 Reorder the terms: -50 + p2 + 0.5q2 = 50 + -0.5q2 + -50 + 0.5q2 Reorder the terms: -50 + p2 + 0.5q2 = 50 + -50 + -0.5q2 + 0.5q2 Combine like terms: 50 + -50 = 0 -50 + p2 + 0.5q2 = 0 + -0.5q2 + 0.5q2 -50 + p2 + 0.5q2 = -0.5q2 + 0.5q2 Combine like terms: -0.5q2 + 0.5q2 = 0.0 -50 + p2 + 0.5q2 = 0.0 The solution to this equation could not be determined.
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