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Simplifying 16r2 + 32r + 25 = 0 Reorder the terms: 25 + 32r + 16r2 = 0 Solving 25 + 32r + 16r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.5625 + 2r + r2 = 0 Move the constant term to the right: Add '-1.5625' to each side of the equation. 1.5625 + 2r + -1.5625 + r2 = 0 + -1.5625 Reorder the terms: 1.5625 + -1.5625 + 2r + r2 = 0 + -1.5625 Combine like terms: 1.5625 + -1.5625 = 0.0000 0.0000 + 2r + r2 = 0 + -1.5625 2r + r2 = 0 + -1.5625 Combine like terms: 0 + -1.5625 = -1.5625 2r + r2 = -1.5625 The r term is 2r. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2r + 1 + r2 = -1.5625 + 1 Reorder the terms: 1 + 2r + r2 = -1.5625 + 1 Combine like terms: -1.5625 + 1 = -0.5625 1 + 2r + r2 = -0.5625 Factor a perfect square on the left side: (r + 1)(r + 1) = -0.5625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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