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Simplifying -1.2x2 + -5.1x + -7.4 = 0 Reorder the terms: -7.4 + -5.1x + -1.2x2 = 0 Solving -7.4 + -5.1x + -1.2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -1.2 the coefficient of the squared term: Divide each side by '-1.2'. 6.166666667 + 4.25x + x2 = 0 Move the constant term to the right: Add '-6.166666667' to each side of the equation. 6.166666667 + 4.25x + -6.166666667 + x2 = 0 + -6.166666667 Reorder the terms: 6.166666667 + -6.166666667 + 4.25x + x2 = 0 + -6.166666667 Combine like terms: 6.166666667 + -6.166666667 = 0.000000000 0.000000000 + 4.25x + x2 = 0 + -6.166666667 4.25x + x2 = 0 + -6.166666667 Combine like terms: 0 + -6.166666667 = -6.166666667 4.25x + x2 = -6.166666667 The x term is 4.25x. Take half its coefficient (2.125). Square it (4.515625) and add it to both sides. Add '4.515625' to each side of the equation. 4.25x + 4.515625 + x2 = -6.166666667 + 4.515625 Reorder the terms: 4.515625 + 4.25x + x2 = -6.166666667 + 4.515625 Combine like terms: -6.166666667 + 4.515625 = -1.651041667 4.515625 + 4.25x + x2 = -1.651041667 Factor a perfect square on the left side: (x + 2.125)(x + 2.125) = -1.651041667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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