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Simplifying (x2 + 21x2 + 147x + 343) = 0 Reorder the terms: (343 + 147x + x2 + 21x2) = 0 Combine like terms: x2 + 21x2 = 22x2 (343 + 147x + 22x2) = 0 Remove parenthesis around (343 + 147x + 22x2) 343 + 147x + 22x2 = 0 Solving 343 + 147x + 22x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 22 the coefficient of the squared term: Divide each side by '22'. 15.59090909 + 6.681818182x + x2 = 0 Move the constant term to the right: Add '-15.59090909' to each side of the equation. 15.59090909 + 6.681818182x + -15.59090909 + x2 = 0 + -15.59090909 Reorder the terms: 15.59090909 + -15.59090909 + 6.681818182x + x2 = 0 + -15.59090909 Combine like terms: 15.59090909 + -15.59090909 = 0.00000000 0.00000000 + 6.681818182x + x2 = 0 + -15.59090909 6.681818182x + x2 = 0 + -15.59090909 Combine like terms: 0 + -15.59090909 = -15.59090909 6.681818182x + x2 = -15.59090909 The x term is 6.681818182x. Take half its coefficient (3.340909091). Square it (11.16167355) and add it to both sides. Add '11.16167355' to each side of the equation. 6.681818182x + 11.16167355 + x2 = -15.59090909 + 11.16167355 Reorder the terms: 11.16167355 + 6.681818182x + x2 = -15.59090909 + 11.16167355 Combine like terms: -15.59090909 + 11.16167355 = -4.42923554 11.16167355 + 6.681818182x + x2 = -4.42923554 Factor a perfect square on the left side: (x + 3.340909091)(x + 3.340909091) = -4.42923554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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