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Simplifying 17a2 + 40a + 32 + -7 = 0 Reorder the terms: 32 + -7 + 40a + 17a2 = 0 Combine like terms: 32 + -7 = 25 25 + 40a + 17a2 = 0 Solving 25 + 40a + 17a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 17 the coefficient of the squared term: Divide each side by '17'. 1.470588235 + 2.352941176a + a2 = 0 Move the constant term to the right: Add '-1.470588235' to each side of the equation. 1.470588235 + 2.352941176a + -1.470588235 + a2 = 0 + -1.470588235 Reorder the terms: 1.470588235 + -1.470588235 + 2.352941176a + a2 = 0 + -1.470588235 Combine like terms: 1.470588235 + -1.470588235 = 0.000000000 0.000000000 + 2.352941176a + a2 = 0 + -1.470588235 2.352941176a + a2 = 0 + -1.470588235 Combine like terms: 0 + -1.470588235 = -1.470588235 2.352941176a + a2 = -1.470588235 The a term is 2.352941176a. Take half its coefficient (1.176470588). Square it (1.384083044) and add it to both sides. Add '1.384083044' to each side of the equation. 2.352941176a + 1.384083044 + a2 = -1.470588235 + 1.384083044 Reorder the terms: 1.384083044 + 2.352941176a + a2 = -1.470588235 + 1.384083044 Combine like terms: -1.470588235 + 1.384083044 = -0.086505191 1.384083044 + 2.352941176a + a2 = -0.086505191 Factor a perfect square on the left side: (a + 1.176470588)(a + 1.176470588) = -0.086505191 Can't calculate square root of the right side. The solution to this equation could not be determined.
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