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Simplifying 82x2 + 18x + 1 = 0 Reorder the terms: 1 + 18x + 82x2 = 0 Solving 1 + 18x + 82x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 82 the coefficient of the squared term: Divide each side by '82'. 0.01219512195 + 0.2195121951x + x2 = 0 Move the constant term to the right: Add '-0.01219512195' to each side of the equation. 0.01219512195 + 0.2195121951x + -0.01219512195 + x2 = 0 + -0.01219512195 Reorder the terms: 0.01219512195 + -0.01219512195 + 0.2195121951x + x2 = 0 + -0.01219512195 Combine like terms: 0.01219512195 + -0.01219512195 = 0.00000000000 0.00000000000 + 0.2195121951x + x2 = 0 + -0.01219512195 0.2195121951x + x2 = 0 + -0.01219512195 Combine like terms: 0 + -0.01219512195 = -0.01219512195 0.2195121951x + x2 = -0.01219512195 The x term is 0.2195121951x. Take half its coefficient (0.1097560976). Square it (0.01204640096) and add it to both sides. Add '0.01204640096' to each side of the equation. 0.2195121951x + 0.01204640096 + x2 = -0.01219512195 + 0.01204640096 Reorder the terms: 0.01204640096 + 0.2195121951x + x2 = -0.01219512195 + 0.01204640096 Combine like terms: -0.01219512195 + 0.01204640096 = -0.00014872099 0.01204640096 + 0.2195121951x + x2 = -0.00014872099 Factor a perfect square on the left side: (x + 0.1097560976)(x + 0.1097560976) = -0.00014872099 Can't calculate square root of the right side. The solution to this equation could not be determined.
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