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Simplifying 16p2 + -1q2 + 4q + -4 = 0 Reorder the terms: -4 + 16p2 + 4q + -1q2 = 0 Solving -4 + 16p2 + 4q + -1q2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 16p2 + 4q + 4 + -1q2 = 0 + 4 Reorder the terms: -4 + 4 + 16p2 + 4q + -1q2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 16p2 + 4q + -1q2 = 0 + 4 16p2 + 4q + -1q2 = 0 + 4 Combine like terms: 0 + 4 = 4 16p2 + 4q + -1q2 = 4 Add '-4q' to each side of the equation. 16p2 + 4q + -4q + -1q2 = 4 + -4q Combine like terms: 4q + -4q = 0 16p2 + 0 + -1q2 = 4 + -4q 16p2 + -1q2 = 4 + -4q Add 'q2' to each side of the equation. 16p2 + -1q2 + q2 = 4 + -4q + q2 Combine like terms: -1q2 + q2 = 0 16p2 + 0 = 4 + -4q + q2 16p2 = 4 + -4q + q2 Divide each side by '16'. p2 = 0.25 + -0.25q + 0.0625q2 Simplifying p2 = 0.25 + -0.25q + 0.0625q2 Reorder the terms: -0.25 + p2 + 0.25q + -0.0625q2 = 0.25 + -0.25q + 0.0625q2 + -0.25 + 0.25q + -0.0625q2 Reorder the terms: -0.25 + p2 + 0.25q + -0.0625q2 = 0.25 + -0.25 + -0.25q + 0.25q + 0.0625q2 + -0.0625q2 Combine like terms: 0.25 + -0.25 = 0.00 -0.25 + p2 + 0.25q + -0.0625q2 = 0.00 + -0.25q + 0.25q + 0.0625q2 + -0.0625q2 -0.25 + p2 + 0.25q + -0.0625q2 = -0.25q + 0.25q + 0.0625q2 + -0.0625q2 Combine like terms: -0.25q + 0.25q = 0.00 -0.25 + p2 + 0.25q + -0.0625q2 = 0.00 + 0.0625q2 + -0.0625q2 -0.25 + p2 + 0.25q + -0.0625q2 = 0.0625q2 + -0.0625q2 Combine like terms: 0.0625q2 + -0.0625q2 = 0.0000 -0.25 + p2 + 0.25q + -0.0625q2 = 0.0000 The solution to this equation could not be determined.
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