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Simplifying 7r2 + -4r + 7 = 0 Reorder the terms: 7 + -4r + 7r2 = 0 Solving 7 + -4r + 7r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1 + -0.5714285714r + r2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.5714285714r + -1 + r2 = 0 + -1 Reorder the terms: 1 + -1 + -0.5714285714r + r2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.5714285714r + r2 = 0 + -1 -0.5714285714r + r2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.5714285714r + r2 = -1 The r term is -0.5714285714r. Take half its coefficient (-0.2857142857). Square it (0.08163265305) and add it to both sides. Add '0.08163265305' to each side of the equation. -0.5714285714r + 0.08163265305 + r2 = -1 + 0.08163265305 Reorder the terms: 0.08163265305 + -0.5714285714r + r2 = -1 + 0.08163265305 Combine like terms: -1 + 0.08163265305 = -0.91836734695 0.08163265305 + -0.5714285714r + r2 = -0.91836734695 Factor a perfect square on the left side: (r + -0.2857142857)(r + -0.2857142857) = -0.91836734695 Can't calculate square root of the right side. The solution to this equation could not be determined.
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