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Simplifying 4x2 + 14x + 49 = 0 Reorder the terms: 49 + 14x + 4x2 = 0 Solving 49 + 14x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 12.25 + 3.5x + x2 = 0 Move the constant term to the right: Add '-12.25' to each side of the equation. 12.25 + 3.5x + -12.25 + x2 = 0 + -12.25 Reorder the terms: 12.25 + -12.25 + 3.5x + x2 = 0 + -12.25 Combine like terms: 12.25 + -12.25 = 0.00 0.00 + 3.5x + x2 = 0 + -12.25 3.5x + x2 = 0 + -12.25 Combine like terms: 0 + -12.25 = -12.25 3.5x + x2 = -12.25 The x term is 3.5x. Take half its coefficient (1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. 3.5x + 3.0625 + x2 = -12.25 + 3.0625 Reorder the terms: 3.0625 + 3.5x + x2 = -12.25 + 3.0625 Combine like terms: -12.25 + 3.0625 = -9.1875 3.0625 + 3.5x + x2 = -9.1875 Factor a perfect square on the left side: (x + 1.75)(x + 1.75) = -9.1875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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