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Simplifying 3r2 + 4r + 9 = 0 Reorder the terms: 9 + 4r + 3r2 = 0 Solving 9 + 4r + 3r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 3 + 1.333333333r + r2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 1.333333333r + -3 + r2 = 0 + -3 Reorder the terms: 3 + -3 + 1.333333333r + r2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1.333333333r + r2 = 0 + -3 1.333333333r + r2 = 0 + -3 Combine like terms: 0 + -3 = -3 1.333333333r + r2 = -3 The r term is 1.333333333r. Take half its coefficient (0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. 1.333333333r + 0.4444444442 + r2 = -3 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333r + r2 = -3 + 0.4444444442 Combine like terms: -3 + 0.4444444442 = -2.5555555558 0.4444444442 + 1.333333333r + r2 = -2.5555555558 Factor a perfect square on the left side: (r + 0.6666666665)(r + 0.6666666665) = -2.5555555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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