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Simplifying 2x2 + -28x + 147 = 0 Reorder the terms: 147 + -28x + 2x2 = 0 Solving 147 + -28x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 73.5 + -14x + x2 = 0 Move the constant term to the right: Add '-73.5' to each side of the equation. 73.5 + -14x + -73.5 + x2 = 0 + -73.5 Reorder the terms: 73.5 + -73.5 + -14x + x2 = 0 + -73.5 Combine like terms: 73.5 + -73.5 = 0.0 0.0 + -14x + x2 = 0 + -73.5 -14x + x2 = 0 + -73.5 Combine like terms: 0 + -73.5 = -73.5 -14x + x2 = -73.5 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 = -73.5 + 49 Reorder the terms: 49 + -14x + x2 = -73.5 + 49 Combine like terms: -73.5 + 49 = -24.5 49 + -14x + x2 = -24.5 Factor a perfect square on the left side: (x + -7)(x + -7) = -24.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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