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Simplifying 5x2 + -44x + 174 = 0 Reorder the terms: 174 + -44x + 5x2 = 0 Solving 174 + -44x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 34.8 + -8.8x + x2 = 0 Move the constant term to the right: Add '-34.8' to each side of the equation. 34.8 + -8.8x + -34.8 + x2 = 0 + -34.8 Reorder the terms: 34.8 + -34.8 + -8.8x + x2 = 0 + -34.8 Combine like terms: 34.8 + -34.8 = 0.0 0.0 + -8.8x + x2 = 0 + -34.8 -8.8x + x2 = 0 + -34.8 Combine like terms: 0 + -34.8 = -34.8 -8.8x + x2 = -34.8 The x term is -8.8x. Take half its coefficient (-4.4). Square it (19.36) and add it to both sides. Add '19.36' to each side of the equation. -8.8x + 19.36 + x2 = -34.8 + 19.36 Reorder the terms: 19.36 + -8.8x + x2 = -34.8 + 19.36 Combine like terms: -34.8 + 19.36 = -15.44 19.36 + -8.8x + x2 = -15.44 Factor a perfect square on the left side: (x + -4.4)(x + -4.4) = -15.44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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