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Simplifying 17x2 + -80x + 152 = 0 Reorder the terms: 152 + -80x + 17x2 = 0 Solving 152 + -80x + 17x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 17 the coefficient of the squared term: Divide each side by '17'. 8.941176471 + -4.705882353x + x2 = 0 Move the constant term to the right: Add '-8.941176471' to each side of the equation. 8.941176471 + -4.705882353x + -8.941176471 + x2 = 0 + -8.941176471 Reorder the terms: 8.941176471 + -8.941176471 + -4.705882353x + x2 = 0 + -8.941176471 Combine like terms: 8.941176471 + -8.941176471 = 0.000000000 0.000000000 + -4.705882353x + x2 = 0 + -8.941176471 -4.705882353x + x2 = 0 + -8.941176471 Combine like terms: 0 + -8.941176471 = -8.941176471 -4.705882353x + x2 = -8.941176471 The x term is -4.705882353x. Take half its coefficient (-2.352941177). Square it (5.536332182) and add it to both sides. Add '5.536332182' to each side of the equation. -4.705882353x + 5.536332182 + x2 = -8.941176471 + 5.536332182 Reorder the terms: 5.536332182 + -4.705882353x + x2 = -8.941176471 + 5.536332182 Combine like terms: -8.941176471 + 5.536332182 = -3.404844289 5.536332182 + -4.705882353x + x2 = -3.404844289 Factor a perfect square on the left side: (x + -2.352941177)(x + -2.352941177) = -3.404844289 Can't calculate square root of the right side. The solution to this equation could not be determined.
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