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Simplifying 0 = r2 + -2r + 64 Reorder the terms: 0 = 64 + -2r + r2 Solving 0 = 64 + -2r + r2 Solving for variable 'r'. Combine like terms: 0 + -64 = -64 -64 + 2r + -1r2 = 64 + -2r + r2 + -64 + 2r + -1r2 Reorder the terms: -64 + 2r + -1r2 = 64 + -64 + -2r + 2r + r2 + -1r2 Combine like terms: 64 + -64 = 0 -64 + 2r + -1r2 = 0 + -2r + 2r + r2 + -1r2 -64 + 2r + -1r2 = -2r + 2r + r2 + -1r2 Combine like terms: -2r + 2r = 0 -64 + 2r + -1r2 = 0 + r2 + -1r2 -64 + 2r + -1r2 = r2 + -1r2 Combine like terms: r2 + -1r2 = 0 -64 + 2r + -1r2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 64 + -2r + r2 = 0 Move the constant term to the right: Add '-64' to each side of the equation. 64 + -2r + -64 + r2 = 0 + -64 Reorder the terms: 64 + -64 + -2r + r2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -2r + r2 = 0 + -64 -2r + r2 = 0 + -64 Combine like terms: 0 + -64 = -64 -2r + r2 = -64 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 = -64 + 1 Reorder the terms: 1 + -2r + r2 = -64 + 1 Combine like terms: -64 + 1 = -63 1 + -2r + r2 = -63 Factor a perfect square on the left side: (r + -1)(r + -1) = -63 Can't calculate square root of the right side. The solution to this equation could not be determined.
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