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Simplifying 13x2 + 29x + 17 = 0 Reorder the terms: 17 + 29x + 13x2 = 0 Solving 17 + 29x + 13x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 1.307692308 + 2.230769231x + x2 = 0 Move the constant term to the right: Add '-1.307692308' to each side of the equation. 1.307692308 + 2.230769231x + -1.307692308 + x2 = 0 + -1.307692308 Reorder the terms: 1.307692308 + -1.307692308 + 2.230769231x + x2 = 0 + -1.307692308 Combine like terms: 1.307692308 + -1.307692308 = 0.000000000 0.000000000 + 2.230769231x + x2 = 0 + -1.307692308 2.230769231x + x2 = 0 + -1.307692308 Combine like terms: 0 + -1.307692308 = -1.307692308 2.230769231x + x2 = -1.307692308 The x term is 2.230769231x. Take half its coefficient (1.115384616). Square it (1.244082842) and add it to both sides. Add '1.244082842' to each side of the equation. 2.230769231x + 1.244082842 + x2 = -1.307692308 + 1.244082842 Reorder the terms: 1.244082842 + 2.230769231x + x2 = -1.307692308 + 1.244082842 Combine like terms: -1.307692308 + 1.244082842 = -0.063609466 1.244082842 + 2.230769231x + x2 = -0.063609466 Factor a perfect square on the left side: (x + 1.115384616)(x + 1.115384616) = -0.063609466 Can't calculate square root of the right side. The solution to this equation could not be determined.
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