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Simplifying 41a2 + 172a + 852 = 0 Reorder the terms: 852 + 172a + 41a2 = 0 Solving 852 + 172a + 41a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 41 the coefficient of the squared term: Divide each side by '41'. 20.7804878 + 4.195121951a + a2 = 0 Move the constant term to the right: Add '-20.7804878' to each side of the equation. 20.7804878 + 4.195121951a + -20.7804878 + a2 = 0 + -20.7804878 Reorder the terms: 20.7804878 + -20.7804878 + 4.195121951a + a2 = 0 + -20.7804878 Combine like terms: 20.7804878 + -20.7804878 = 0.0000000 0.0000000 + 4.195121951a + a2 = 0 + -20.7804878 4.195121951a + a2 = 0 + -20.7804878 Combine like terms: 0 + -20.7804878 = -20.7804878 4.195121951a + a2 = -20.7804878 The a term is 4.195121951a. Take half its coefficient (2.097560976). Square it (4.399762048) and add it to both sides. Add '4.399762048' to each side of the equation. 4.195121951a + 4.399762048 + a2 = -20.7804878 + 4.399762048 Reorder the terms: 4.399762048 + 4.195121951a + a2 = -20.7804878 + 4.399762048 Combine like terms: -20.7804878 + 4.399762048 = -16.380725752 4.399762048 + 4.195121951a + a2 = -16.380725752 Factor a perfect square on the left side: (a + 2.097560976)(a + 2.097560976) = -16.380725752 Can't calculate square root of the right side. The solution to this equation could not be determined.
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