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Simplifying 5r2 + -4r + 7 = 0 Reorder the terms: 7 + -4r + 5r2 = 0 Solving 7 + -4r + 5r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.4 + -0.8r + r2 = 0 Move the constant term to the right: Add '-1.4' to each side of the equation. 1.4 + -0.8r + -1.4 + r2 = 0 + -1.4 Reorder the terms: 1.4 + -1.4 + -0.8r + r2 = 0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -0.8r + r2 = 0 + -1.4 -0.8r + r2 = 0 + -1.4 Combine like terms: 0 + -1.4 = -1.4 -0.8r + r2 = -1.4 The r term is -0.8r. Take half its coefficient (-0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. -0.8r + 0.16 + r2 = -1.4 + 0.16 Reorder the terms: 0.16 + -0.8r + r2 = -1.4 + 0.16 Combine like terms: -1.4 + 0.16 = -1.24 0.16 + -0.8r + r2 = -1.24 Factor a perfect square on the left side: (r + -0.4)(r + -0.4) = -1.24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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