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Simplifying 2.840 = 1.2x + -0.2x2 Solving 2.840 = 1.2x + -0.2x2 Solving for variable 'x'. Reorder the terms: 2.840 + -1.2x + 0.2x2 = 1.2x + -1.2x + -0.2x2 + 0.2x2 Combine like terms: 1.2x + -1.2x = 0.0 2.840 + -1.2x + 0.2x2 = 0.0 + -0.2x2 + 0.2x2 2.840 + -1.2x + 0.2x2 = -0.2x2 + 0.2x2 Combine like terms: -0.2x2 + 0.2x2 = 0.0 2.840 + -1.2x + 0.2x2 = 0.0 Begin completing the square. Divide all terms by 0.2 the coefficient of the squared term: Divide each side by '0.2'. 14.2 + -6x + x2 = 0 Move the constant term to the right: Add '-14.2' to each side of the equation. 14.2 + -6x + -14.2 + x2 = 0 + -14.2 Reorder the terms: 14.2 + -14.2 + -6x + x2 = 0 + -14.2 Combine like terms: 14.2 + -14.2 = 0.0 0.0 + -6x + x2 = 0 + -14.2 -6x + x2 = 0 + -14.2 Combine like terms: 0 + -14.2 = -14.2 -6x + x2 = -14.2 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -14.2 + 9 Reorder the terms: 9 + -6x + x2 = -14.2 + 9 Combine like terms: -14.2 + 9 = -5.2 9 + -6x + x2 = -5.2 Factor a perfect square on the left side: (x + -3)(x + -3) = -5.2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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