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Simplifying r2 + -3r + 54 = 0 Reorder the terms: 54 + -3r + r2 = 0 Solving 54 + -3r + r2 = 0 Solving for variable 'r'. Begin completing the square. Move the constant term to the right: Add '-54' to each side of the equation. 54 + -3r + -54 + r2 = 0 + -54 Reorder the terms: 54 + -54 + -3r + r2 = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -3r + r2 = 0 + -54 -3r + r2 = 0 + -54 Combine like terms: 0 + -54 = -54 -3r + r2 = -54 The r term is -3r. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3r + 2.25 + r2 = -54 + 2.25 Reorder the terms: 2.25 + -3r + r2 = -54 + 2.25 Combine like terms: -54 + 2.25 = -51.75 2.25 + -3r + r2 = -51.75 Factor a perfect square on the left side: (r + -1.5)(r + -1.5) = -51.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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