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Simplifying 4x2 + -14x + 25 = 0 Reorder the terms: 25 + -14x + 4x2 = 0 Solving 25 + -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'. 6.25 + -3.5x + x2 = 0 Move the constant term to the right: Add '-6.25' to each side of the equation. 6.25 + -3.5x + -6.25 + x2 = 0 + -6.25 Reorder the terms: 6.25 + -6.25 + -3.5x + x2 = 0 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + -3.5x + x2 = 0 + -6.25 -3.5x + x2 = 0 + -6.25 Combine like terms: 0 + -6.25 = -6.25 -3.5x + x2 = -6.25 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 = -6.25 + 3.0625 Reorder the terms: 3.0625 + -3.5x + x2 = -6.25 + 3.0625 Combine like terms: -6.25 + 3.0625 = -3.1875 3.0625 + -3.5x + x2 = -3.1875 Factor a perfect square on the left side: (x + -1.75)(x + -1.75) = -3.1875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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