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Simplifying 13r2 + 20r + 100 = 0 Reorder the terms: 100 + 20r + 13r2 = 0 Solving 100 + 20r + 13r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 7.692307692 + 1.538461538r + r2 = 0 Move the constant term to the right: Add '-7.692307692' to each side of the equation. 7.692307692 + 1.538461538r + -7.692307692 + r2 = 0 + -7.692307692 Reorder the terms: 7.692307692 + -7.692307692 + 1.538461538r + r2 = 0 + -7.692307692 Combine like terms: 7.692307692 + -7.692307692 = 0.000000000 0.000000000 + 1.538461538r + r2 = 0 + -7.692307692 1.538461538r + r2 = 0 + -7.692307692 Combine like terms: 0 + -7.692307692 = -7.692307692 1.538461538r + r2 = -7.692307692 The r term is 1.538461538r. Take half its coefficient (0.769230769). Square it (0.5917159760) and add it to both sides. Add '0.5917159760' to each side of the equation. 1.538461538r + 0.5917159760 + r2 = -7.692307692 + 0.5917159760 Reorder the terms: 0.5917159760 + 1.538461538r + r2 = -7.692307692 + 0.5917159760 Combine like terms: -7.692307692 + 0.5917159760 = -7.100591716 0.5917159760 + 1.538461538r + r2 = -7.100591716 Factor a perfect square on the left side: (r + 0.769230769)(r + 0.769230769) = -7.100591716 Can't calculate square root of the right side. The solution to this equation could not be determined.
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