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Simplifying 16X2 + 12X + 35 = 0 Reorder the terms: 35 + 12X + 16X2 = 0 Solving 35 + 12X + 16X2 = 0 Solving for variable 'X'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 2.1875 + 0.75X + X2 = 0 Move the constant term to the right: Add '-2.1875' to each side of the equation. 2.1875 + 0.75X + -2.1875 + X2 = 0 + -2.1875 Reorder the terms: 2.1875 + -2.1875 + 0.75X + X2 = 0 + -2.1875 Combine like terms: 2.1875 + -2.1875 = 0.0000 0.0000 + 0.75X + X2 = 0 + -2.1875 0.75X + X2 = 0 + -2.1875 Combine like terms: 0 + -2.1875 = -2.1875 0.75X + X2 = -2.1875 The X term is 0.75X. Take half its coefficient (0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. 0.75X + 0.140625 + X2 = -2.1875 + 0.140625 Reorder the terms: 0.140625 + 0.75X + X2 = -2.1875 + 0.140625 Combine like terms: -2.1875 + 0.140625 = -2.046875 0.140625 + 0.75X + X2 = -2.046875 Factor a perfect square on the left side: (X + 0.375)(X + 0.375) = -2.046875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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