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Simplifying 3r2 + -5r + 3 = 0 Reorder the terms: 3 + -5r + 3r2 = 0 Solving 3 + -5r + 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'. 1 + -1.666666667r + r2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.666666667r + -1 + r2 = 0 + -1 Reorder the terms: 1 + -1 + -1.666666667r + r2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.666666667r + r2 = 0 + -1 -1.666666667r + r2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.666666667r + r2 = -1 The r term is -1.666666667r. Take half its coefficient (-0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. -1.666666667r + 0.6944444447 + r2 = -1 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667r + r2 = -1 + 0.6944444447 Combine like terms: -1 + 0.6944444447 = -0.3055555553 0.6944444447 + -1.666666667r + r2 = -0.3055555553 Factor a perfect square on the left side: (r + -0.8333333335)(r + -0.8333333335) = -0.3055555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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