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Simplifying -5x2 + 8x + -17 = 0 Reorder the terms: -17 + 8x + -5x2 = 0 Solving -17 + 8x + -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'. 3.4 + -1.6x + x2 = 0 Move the constant term to the right: Add '-3.4' to each side of the equation. 3.4 + -1.6x + -3.4 + x2 = 0 + -3.4 Reorder the terms: 3.4 + -3.4 + -1.6x + x2 = 0 + -3.4 Combine like terms: 3.4 + -3.4 = 0.0 0.0 + -1.6x + x2 = 0 + -3.4 -1.6x + x2 = 0 + -3.4 Combine like terms: 0 + -3.4 = -3.4 -1.6x + x2 = -3.4 The x term is -1.6x. Take half its coefficient (-0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. -1.6x + 0.64 + x2 = -3.4 + 0.64 Reorder the terms: 0.64 + -1.6x + x2 = -3.4 + 0.64 Combine like terms: -3.4 + 0.64 = -2.76 0.64 + -1.6x + x2 = -2.76 Factor a perfect square on the left side: (x + -0.8)(x + -0.8) = -2.76 Can't calculate square root of the right side. The solution to this equation could not be determined.
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