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Simplifying 4r * 4r + 36r + 81 = r Reorder the terms for easier multiplication: 4 * 4r * r + 36r + 81 = r Multiply 4 * 4 16r * r + 36r + 81 = r Multiply r * r 16r2 + 36r + 81 = r Reorder the terms: 81 + 36r + 16r2 = r Solving 81 + 36r + 16r2 = r Solving for variable 'r'. Reorder the terms: 81 + 36r + -1r + 16r2 = r + -1r Combine like terms: 36r + -1r = 35r 81 + 35r + 16r2 = r + -1r Combine like terms: r + -1r = 0 81 + 35r + 16r2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 5.0625 + 2.1875r + r2 = 0 Move the constant term to the right: Add '-5.0625' to each side of the equation. 5.0625 + 2.1875r + -5.0625 + r2 = 0 + -5.0625 Reorder the terms: 5.0625 + -5.0625 + 2.1875r + r2 = 0 + -5.0625 Combine like terms: 5.0625 + -5.0625 = 0.0000 0.0000 + 2.1875r + r2 = 0 + -5.0625 2.1875r + r2 = 0 + -5.0625 Combine like terms: 0 + -5.0625 = -5.0625 2.1875r + r2 = -5.0625 The r term is 2.1875r. Take half its coefficient (1.09375). Square it (1.196289063) and add it to both sides. Add '1.196289063' to each side of the equation. 2.1875r + 1.196289063 + r2 = -5.0625 + 1.196289063 Reorder the terms: 1.196289063 + 2.1875r + r2 = -5.0625 + 1.196289063 Combine like terms: -5.0625 + 1.196289063 = -3.866210937 1.196289063 + 2.1875r + r2 = -3.866210937 Factor a perfect square on the left side: (r + 1.09375)(r + 1.09375) = -3.866210937 Can't calculate square root of the right side. The solution to this equation could not be determined.
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