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Simplifying (-1.2x2) + x + -55 = 0 Reorder the terms: -55 + x + (-1.2x2) = 0 Solving -55 + x + (-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'. 45.83333333 + -0.8333333333x + x2 = 0 Move the constant term to the right: Add '-45.83333333' to each side of the equation. 45.83333333 + -0.8333333333x + -45.83333333 + x2 = 0 + -45.83333333 Reorder the terms: 45.83333333 + -45.83333333 + -0.8333333333x + x2 = 0 + -45.83333333 Combine like terms: 45.83333333 + -45.83333333 = 0.00000000 0.00000000 + -0.8333333333x + x2 = 0 + -45.83333333 -0.8333333333x + x2 = 0 + -45.83333333 Combine like terms: 0 + -45.83333333 = -45.83333333 -0.8333333333x + x2 = -45.83333333 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.8333333333x + 0.25 + x2 = -45.83333333 + 0.25 Reorder the terms: 0.25 + -0.8333333333x + x2 = -45.83333333 + 0.25 Combine like terms: -45.83333333 + 0.25 = -45.58333333 0.25 + -0.8333333333x + x2 = -45.58333333 Factor a perfect square on the left side: ((x) + 0.5)((x) + 0.5) = -45.58333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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