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Simplifying 3.6x2 + -5x + 28 = 0 Reorder the terms: 28 + -5x + 3.6x2 = 0 Solving 28 + -5x + 3.6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3.6 the coefficient of the squared term: Divide each side by '3.6'. 7.777777778 + -1.388888889x + x2 = 0 Move the constant term to the right: Add '-7.777777778' to each side of the equation. 7.777777778 + -1.388888889x + -7.777777778 + x2 = 0 + -7.777777778 Reorder the terms: 7.777777778 + -7.777777778 + -1.388888889x + x2 = 0 + -7.777777778 Combine like terms: 7.777777778 + -7.777777778 = 0.000000000 0.000000000 + -1.388888889x + x2 = 0 + -7.777777778 -1.388888889x + x2 = 0 + -7.777777778 Combine like terms: 0 + -7.777777778 = -7.777777778 -1.388888889x + x2 = -7.777777778 The x term is -1.388888889x. Take half its coefficient (-0.6944444445). Square it (0.4822530865) and add it to both sides. Add '0.4822530865' to each side of the equation. -1.388888889x + 0.4822530865 + x2 = -7.777777778 + 0.4822530865 Reorder the terms: 0.4822530865 + -1.388888889x + x2 = -7.777777778 + 0.4822530865 Combine like terms: -7.777777778 + 0.4822530865 = -7.2955246915 0.4822530865 + -1.388888889x + x2 = -7.2955246915 Factor a perfect square on the left side: (x + -0.6944444445)(x + -0.6944444445) = -7.2955246915 Can't calculate square root of the right side. The solution to this equation could not be determined.
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