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Simplifying v2 + -2v + 1 + -16p2 = 0 Reorder the terms: 1 + -16p2 + -2v + v2 = 0 Solving 1 + -16p2 + -2v + v2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -16p2 + -2v + -1 + v2 = 0 + -1 Reorder the terms: 1 + -1 + -16p2 + -2v + v2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -16p2 + -2v + v2 = 0 + -1 -16p2 + -2v + v2 = 0 + -1 Combine like terms: 0 + -1 = -1 -16p2 + -2v + v2 = -1 Add '2v' to each side of the equation. -16p2 + -2v + 2v + v2 = -1 + 2v Combine like terms: -2v + 2v = 0 -16p2 + 0 + v2 = -1 + 2v -16p2 + v2 = -1 + 2v Add '-1v2' to each side of the equation. -16p2 + v2 + -1v2 = -1 + 2v + -1v2 Combine like terms: v2 + -1v2 = 0 -16p2 + 0 = -1 + 2v + -1v2 -16p2 = -1 + 2v + -1v2 Divide each side by '-16'. p2 = 0.0625 + -0.125v + 0.0625v2 Simplifying p2 = 0.0625 + -0.125v + 0.0625v2 Reorder the terms: -0.0625 + p2 + 0.125v + -0.0625v2 = 0.0625 + -0.125v + 0.0625v2 + -0.0625 + 0.125v + -0.0625v2 Reorder the terms: -0.0625 + p2 + 0.125v + -0.0625v2 = 0.0625 + -0.0625 + -0.125v + 0.125v + 0.0625v2 + -0.0625v2 Combine like terms: 0.0625 + -0.0625 = 0.0000 -0.0625 + p2 + 0.125v + -0.0625v2 = 0.0000 + -0.125v + 0.125v + 0.0625v2 + -0.0625v2 -0.0625 + p2 + 0.125v + -0.0625v2 = -0.125v + 0.125v + 0.0625v2 + -0.0625v2 Combine like terms: -0.125v + 0.125v = 0.000 -0.0625 + p2 + 0.125v + -0.0625v2 = 0.000 + 0.0625v2 + -0.0625v2 -0.0625 + p2 + 0.125v + -0.0625v2 = 0.0625v2 + -0.0625v2 Combine like terms: 0.0625v2 + -0.0625v2 = 0.0000 -0.0625 + p2 + 0.125v + -0.0625v2 = 0.0000 The solution to this equation could not be determined.
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