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Simplifying r2 = 6r + -27 Reorder the terms: r2 = -27 + 6r Solving r2 = -27 + 6r Solving for variable 'r'. Reorder the terms: 27 + -6r + r2 = -27 + 6r + 27 + -6r Reorder the terms: 27 + -6r + r2 = -27 + 27 + 6r + -6r Combine like terms: -27 + 27 = 0 27 + -6r + r2 = 0 + 6r + -6r 27 + -6r + r2 = 6r + -6r Combine like terms: 6r + -6r = 0 27 + -6r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-27' to each side of the equation. 27 + -6r + -27 + r2 = 0 + -27 Reorder the terms: 27 + -27 + -6r + r2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -6r + r2 = 0 + -27 -6r + r2 = 0 + -27 Combine like terms: 0 + -27 = -27 -6r + r2 = -27 The r term is -6r. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6r + 9 + r2 = -27 + 9 Reorder the terms: 9 + -6r + r2 = -27 + 9 Combine like terms: -27 + 9 = -18 9 + -6r + r2 = -18 Factor a perfect square on the left side: (r + -3)(r + -3) = -18 Can't calculate square root of the right side. The solution to this equation could not be determined.
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