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Simplifying r2 + 15r + 6750 = 0 Reorder the terms: 6750 + 15r + r2 = 0 Solving 6750 + 15r + r2 = 0 Solving for variable 'r'. Begin completing the square. Move the constant term to the right: Add '-6750' to each side of the equation. 6750 + 15r + -6750 + r2 = 0 + -6750 Reorder the terms: 6750 + -6750 + 15r + r2 = 0 + -6750 Combine like terms: 6750 + -6750 = 0 0 + 15r + r2 = 0 + -6750 15r + r2 = 0 + -6750 Combine like terms: 0 + -6750 = -6750 15r + r2 = -6750 The r term is 15r. Take half its coefficient (7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. 15r + 56.25 + r2 = -6750 + 56.25 Reorder the terms: 56.25 + 15r + r2 = -6750 + 56.25 Combine like terms: -6750 + 56.25 = -6693.75 56.25 + 15r + r2 = -6693.75 Factor a perfect square on the left side: (r + 7.5)(r + 7.5) = -6693.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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