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Simplifying r2 + -2r + 1 + -16p2 = 0 Reorder the terms: 1 + -16p2 + -2r + r2 = 0 Solving 1 + -16p2 + -2r + r2 = 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 + -2r + -1 + r2 = 0 + -1 Reorder the terms: 1 + -1 + -16p2 + -2r + r2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -16p2 + -2r + r2 = 0 + -1 -16p2 + -2r + r2 = 0 + -1 Combine like terms: 0 + -1 = -1 -16p2 + -2r + r2 = -1 Add '2r' to each side of the equation. -16p2 + -2r + 2r + r2 = -1 + 2r Combine like terms: -2r + 2r = 0 -16p2 + 0 + r2 = -1 + 2r -16p2 + r2 = -1 + 2r Add '-1r2' to each side of the equation. -16p2 + r2 + -1r2 = -1 + 2r + -1r2 Combine like terms: r2 + -1r2 = 0 -16p2 + 0 = -1 + 2r + -1r2 -16p2 = -1 + 2r + -1r2 Divide each side by '-16'. p2 = 0.0625 + -0.125r + 0.0625r2 Simplifying p2 = 0.0625 + -0.125r + 0.0625r2 Reorder the terms: -0.0625 + p2 + 0.125r + -0.0625r2 = 0.0625 + -0.125r + 0.0625r2 + -0.0625 + 0.125r + -0.0625r2 Reorder the terms: -0.0625 + p2 + 0.125r + -0.0625r2 = 0.0625 + -0.0625 + -0.125r + 0.125r + 0.0625r2 + -0.0625r2 Combine like terms: 0.0625 + -0.0625 = 0.0000 -0.0625 + p2 + 0.125r + -0.0625r2 = 0.0000 + -0.125r + 0.125r + 0.0625r2 + -0.0625r2 -0.0625 + p2 + 0.125r + -0.0625r2 = -0.125r + 0.125r + 0.0625r2 + -0.0625r2 Combine like terms: -0.125r + 0.125r = 0.000 -0.0625 + p2 + 0.125r + -0.0625r2 = 0.000 + 0.0625r2 + -0.0625r2 -0.0625 + p2 + 0.125r + -0.0625r2 = 0.0625r2 + -0.0625r2 Combine like terms: 0.0625r2 + -0.0625r2 = 0.0000 -0.0625 + p2 + 0.125r + -0.0625r2 = 0.0000 The solution to this equation could not be determined.
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