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Simplifying 8r2 + 3r = -5 Reorder the terms: 3r + 8r2 = -5 Solving 3r + 8r2 = -5 Solving for variable 'r'. Reorder the terms: 5 + 3r + 8r2 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + 3r + 8r2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.625 + 0.375r + r2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + 0.375r + -0.625 + r2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + 0.375r + r2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + 0.375r + r2 = 0 + -0.625 0.375r + r2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 0.375r + r2 = -0.625 The r term is 0.375r. Take half its coefficient (0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. 0.375r + 0.03515625 + r2 = -0.625 + 0.03515625 Reorder the terms: 0.03515625 + 0.375r + r2 = -0.625 + 0.03515625 Combine like terms: -0.625 + 0.03515625 = -0.58984375 0.03515625 + 0.375r + r2 = -0.58984375 Factor a perfect square on the left side: (r + 0.1875)(r + 0.1875) = -0.58984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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