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Simplifying 5x2 + -56x + 159 = 0 Reorder the terms: 159 + -56x + 5x2 = 0 Solving 159 + -56x + 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'. 31.8 + -11.2x + x2 = 0 Move the constant term to the right: Add '-31.8' to each side of the equation. 31.8 + -11.2x + -31.8 + x2 = 0 + -31.8 Reorder the terms: 31.8 + -31.8 + -11.2x + x2 = 0 + -31.8 Combine like terms: 31.8 + -31.8 = 0.0 0.0 + -11.2x + x2 = 0 + -31.8 -11.2x + x2 = 0 + -31.8 Combine like terms: 0 + -31.8 = -31.8 -11.2x + x2 = -31.8 The x term is -11.2x. Take half its coefficient (-5.6). Square it (31.36) and add it to both sides. Add '31.36' to each side of the equation. -11.2x + 31.36 + x2 = -31.8 + 31.36 Reorder the terms: 31.36 + -11.2x + x2 = -31.8 + 31.36 Combine like terms: -31.8 + 31.36 = -0.44 31.36 + -11.2x + x2 = -0.44 Factor a perfect square on the left side: (x + -5.6)(x + -5.6) = -0.44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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