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Simplifying 12r2 + 5r + 3 = 0 Reorder the terms: 3 + 5r + 12r2 = 0 Solving 3 + 5r + 12r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.25 + 0.4166666667r + r2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + 0.4166666667r + -0.25 + r2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + 0.4166666667r + r2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.4166666667r + r2 = 0 + -0.25 0.4166666667r + r2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 0.4166666667r + r2 = -0.25 The r term is 0.4166666667r. Take half its coefficient (0.2083333334). Square it (0.04340277781) and add it to both sides. Add '0.04340277781' to each side of the equation. 0.4166666667r + 0.04340277781 + r2 = -0.25 + 0.04340277781 Reorder the terms: 0.04340277781 + 0.4166666667r + r2 = -0.25 + 0.04340277781 Combine like terms: -0.25 + 0.04340277781 = -0.20659722219 0.04340277781 + 0.4166666667r + r2 = -0.20659722219 Factor a perfect square on the left side: (r + 0.2083333334)(r + 0.2083333334) = -0.20659722219 Can't calculate square root of the right side. The solution to this equation could not be determined.
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