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Simplifying r2 + 6r + 21 = 0 Reorder the terms: 21 + 6r + r2 = 0 Solving 21 + 6r + r2 = 0 Solving for variable 'r'. Begin completing the square. Move the constant term to the right: Add '-21' to each side of the equation. 21 + 6r + -21 + r2 = 0 + -21 Reorder the terms: 21 + -21 + 6r + r2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 6r + r2 = 0 + -21 6r + r2 = 0 + -21 Combine like terms: 0 + -21 = -21 6r + r2 = -21 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 = -21 + 9 Reorder the terms: 9 + 6r + r2 = -21 + 9 Combine like terms: -21 + 9 = -12 9 + 6r + r2 = -12 Factor a perfect square on the left side: (r + 3)(r + 3) = -12 Can't calculate square root of the right side. The solution to this equation could not be determined.
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