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Simplifying 5r2 + -1r + 9 = 0 Reorder the terms: 9 + -1r + 5r2 = 0 Solving 9 + -1r + 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'. 1.8 + -0.2r + r2 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + -0.2r + -1.8 + r2 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + -0.2r + r2 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.2r + r2 = 0 + -1.8 -0.2r + r2 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 -0.2r + r2 = -1.8 The r term is -0.2r. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2r + 0.01 + r2 = -1.8 + 0.01 Reorder the terms: 0.01 + -0.2r + r2 = -1.8 + 0.01 Combine like terms: -1.8 + 0.01 = -1.79 0.01 + -0.2r + r2 = -1.79 Factor a perfect square on the left side: (r + -0.1)(r + -0.1) = -1.79 Can't calculate square root of the right side. The solution to this equation could not be determined.
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