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Simplifying 0.25x2 + -3.5x + 3.0625 = -11.25 Reorder the terms: 3.0625 + -3.5x + 0.25x2 = -11.25 Solving 3.0625 + -3.5x + 0.25x2 = -11.25 Solving for variable 'x'. Reorder the terms: 3.0625 + 11.25 + -3.5x + 0.25x2 = -11.25 + 11.25 Combine like terms: 3.0625 + 11.25 = 14.3125 14.3125 + -3.5x + 0.25x2 = -11.25 + 11.25 Combine like terms: -11.25 + 11.25 = 0.00 14.3125 + -3.5x + 0.25x2 = 0.00 Begin completing the square. Divide all terms by 0.25 the coefficient of the squared term: Divide each side by '0.25'. 57.25 + -14x + x2 = 0 Move the constant term to the right: Add '-57.25' to each side of the equation. 57.25 + -14x + -57.25 + x2 = 0 + -57.25 Reorder the terms: 57.25 + -57.25 + -14x + x2 = 0 + -57.25 Combine like terms: 57.25 + -57.25 = 0.00 0.00 + -14x + x2 = 0 + -57.25 -14x + x2 = 0 + -57.25 Combine like terms: 0 + -57.25 = -57.25 -14x + x2 = -57.25 The x term is -14x. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14x + 49 + x2 = -57.25 + 49 Reorder the terms: 49 + -14x + x2 = -57.25 + 49 Combine like terms: -57.25 + 49 = -8.25 49 + -14x + x2 = -8.25 Factor a perfect square on the left side: (x + -7)(x + -7) = -8.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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