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Simplifying r2 + 14r + 72 = 0 Reorder the terms: 72 + 14r + r2 = 0 Solving 72 + 14r + r2 = 0 Solving for variable 'r'. Begin completing the square. Move the constant term to the right: Add '-72' to each side of the equation. 72 + 14r + -72 + r2 = 0 + -72 Reorder the terms: 72 + -72 + 14r + r2 = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 14r + r2 = 0 + -72 14r + r2 = 0 + -72 Combine like terms: 0 + -72 = -72 14r + r2 = -72 The r term is 14r. Take half its coefficient (7). Square it (49) and add it to both sides. Add '49' to each side of the equation. 14r + 49 + r2 = -72 + 49 Reorder the terms: 49 + 14r + r2 = -72 + 49 Combine like terms: -72 + 49 = -23 49 + 14r + r2 = -23 Factor a perfect square on the left side: (r + 7)(r + 7) = -23 Can't calculate square root of the right side. The solution to this equation could not be determined.
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