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Simplifying 5r2 + -8r + 20 = 0 Reorder the terms: 20 + -8r + 5r2 = 0 Solving 20 + -8r + 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'. 4 + -1.6r + r2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -1.6r + -4 + r2 = 0 + -4 Reorder the terms: 4 + -4 + -1.6r + r2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1.6r + r2 = 0 + -4 -1.6r + r2 = 0 + -4 Combine like terms: 0 + -4 = -4 -1.6r + r2 = -4 The r term is -1.6r. Take half its coefficient (-0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. -1.6r + 0.64 + r2 = -4 + 0.64 Reorder the terms: 0.64 + -1.6r + r2 = -4 + 0.64 Combine like terms: -4 + 0.64 = -3.36 0.64 + -1.6r + r2 = -3.36 Factor a perfect square on the left side: (r + -0.8)(r + -0.8) = -3.36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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