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Simplifying x = 1.2x2 + 14x + 85 Reorder the terms: x = 85 + 14x + 1.2x2 Solving x = 85 + 14x + 1.2x2 Solving for variable 'x'. Reorder the terms: -85 + x + -14x + -1.2x2 = 85 + 14x + 1.2x2 + -85 + -14x + -1.2x2 Combine like terms: x + -14x = -13x -85 + -13x + -1.2x2 = 85 + 14x + 1.2x2 + -85 + -14x + -1.2x2 Reorder the terms: -85 + -13x + -1.2x2 = 85 + -85 + 14x + -14x + 1.2x2 + -1.2x2 Combine like terms: 85 + -85 = 0 -85 + -13x + -1.2x2 = 0 + 14x + -14x + 1.2x2 + -1.2x2 -85 + -13x + -1.2x2 = 14x + -14x + 1.2x2 + -1.2x2 Combine like terms: 14x + -14x = 0 -85 + -13x + -1.2x2 = 0 + 1.2x2 + -1.2x2 -85 + -13x + -1.2x2 = 1.2x2 + -1.2x2 Combine like terms: 1.2x2 + -1.2x2 = 0.0 -85 + -13x + -1.2x2 = 0.0 Begin completing the square. Divide all terms by -1.2 the coefficient of the squared term: Divide each side by '-1.2'. 70.83333333 + 10.83333333x + x2 = 0 Move the constant term to the right: Add '-70.83333333' to each side of the equation. 70.83333333 + 10.83333333x + -70.83333333 + x2 = 0 + -70.83333333 Reorder the terms: 70.83333333 + -70.83333333 + 10.83333333x + x2 = 0 + -70.83333333 Combine like terms: 70.83333333 + -70.83333333 = 0.00000000 0.00000000 + 10.83333333x + x2 = 0 + -70.83333333 10.83333333x + x2 = 0 + -70.83333333 Combine like terms: 0 + -70.83333333 = -70.83333333 10.83333333x + x2 = -70.83333333 The x term is 10.83333333x. Take half its coefficient (5.416666665). Square it (29.34027776) and add it to both sides. Add '29.34027776' to each side of the equation. 10.83333333x + 29.34027776 + x2 = -70.83333333 + 29.34027776 Reorder the terms: 29.34027776 + 10.83333333x + x2 = -70.83333333 + 29.34027776 Combine like terms: -70.83333333 + 29.34027776 = -41.49305557 29.34027776 + 10.83333333x + x2 = -41.49305557 Factor a perfect square on the left side: (x + 5.416666665)(x + 5.416666665) = -41.49305557 Can't calculate square root of the right side. The solution to this equation could not be determined.
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