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Simplifying 12r2 + 5 = 12r Reorder the terms: 5 + 12r2 = 12r Solving 5 + 12r2 = 12r Solving for variable 'r'. Reorder the terms: 5 + -12r + 12r2 = 12r + -12r Combine like terms: 12r + -12r = 0 5 + -12r + 12r2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.4166666667 + -1r + r2 = 0 Move the constant term to the right: Add '-0.4166666667' to each side of the equation. 0.4166666667 + -1r + -0.4166666667 + r2 = 0 + -0.4166666667 Reorder the terms: 0.4166666667 + -0.4166666667 + -1r + r2 = 0 + -0.4166666667 Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000 0.0000000000 + -1r + r2 = 0 + -0.4166666667 -1r + r2 = 0 + -0.4166666667 Combine like terms: 0 + -0.4166666667 = -0.4166666667 -1r + r2 = -0.4166666667 The r term is -1r. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1r + 0.25 + r2 = -0.4166666667 + 0.25 Reorder the terms: 0.25 + -1r + r2 = -0.4166666667 + 0.25 Combine like terms: -0.4166666667 + 0.25 = -0.1666666667 0.25 + -1r + r2 = -0.1666666667 Factor a perfect square on the left side: (r + -0.5)(r + -0.5) = -0.1666666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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