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Simplifying 16x2 + 46x + 35 = 0 Reorder the terms: 35 + 46x + 16x2 = 0 Solving 35 + 46x + 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 + 2.875x + x2 = 0 Move the constant term to the right: Add '-2.1875' to each side of the equation. 2.1875 + 2.875x + -2.1875 + x2 = 0 + -2.1875 Reorder the terms: 2.1875 + -2.1875 + 2.875x + x2 = 0 + -2.1875 Combine like terms: 2.1875 + -2.1875 = 0.0000 0.0000 + 2.875x + x2 = 0 + -2.1875 2.875x + x2 = 0 + -2.1875 Combine like terms: 0 + -2.1875 = -2.1875 2.875x + x2 = -2.1875 The x term is 2.875x. Take half its coefficient (1.4375). Square it (2.06640625) and add it to both sides. Add '2.06640625' to each side of the equation. 2.875x + 2.06640625 + x2 = -2.1875 + 2.06640625 Reorder the terms: 2.06640625 + 2.875x + x2 = -2.1875 + 2.06640625 Combine like terms: -2.1875 + 2.06640625 = -0.12109375 2.06640625 + 2.875x + x2 = -0.12109375 Factor a perfect square on the left side: (x + 1.4375)(x + 1.4375) = -0.12109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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