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Simplifying 4x2 + -14x = -13 Reorder the terms: -14x + 4x2 = -13 Solving -14x + 4x2 = -13 Solving for variable 'x'. Reorder the terms: 13 + -14x + 4x2 = -13 + 13 Combine like terms: -13 + 13 = 0 13 + -14x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 3.25 + -3.5x + x2 = 0 Move the constant term to the right: Add '-3.25' to each side of the equation. 3.25 + -3.5x + -3.25 + x2 = 0 + -3.25 Reorder the terms: 3.25 + -3.25 + -3.5x + x2 = 0 + -3.25 Combine like terms: 3.25 + -3.25 = 0.00 0.00 + -3.5x + x2 = 0 + -3.25 -3.5x + x2 = 0 + -3.25 Combine like terms: 0 + -3.25 = -3.25 -3.5x + x2 = -3.25 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 = -3.25 + 3.0625 Reorder the terms: 3.0625 + -3.5x + x2 = -3.25 + 3.0625 Combine like terms: -3.25 + 3.0625 = -0.1875 3.0625 + -3.5x + x2 = -0.1875 Factor a perfect square on the left side: (x + -1.75)(x + -1.75) = -0.1875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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