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Simplifying 5x2 + -17x + 40 = 0 Reorder the terms: 40 + -17x + 5x2 = 0 Solving 40 + -17x + 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'. 8 + -3.4x + x2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -3.4x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -3.4x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3.4x + x2 = 0 + -8 -3.4x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -3.4x + x2 = -8 The x term is -3.4x. Take half its coefficient (-1.7). Square it (2.89) and add it to both sides. Add '2.89' to each side of the equation. -3.4x + 2.89 + x2 = -8 + 2.89 Reorder the terms: 2.89 + -3.4x + x2 = -8 + 2.89 Combine like terms: -8 + 2.89 = -5.11 2.89 + -3.4x + x2 = -5.11 Factor a perfect square on the left side: (x + -1.7)(x + -1.7) = -5.11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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