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Simplifying 30x2 + -73x + 54 = 0 Reorder the terms: 54 + -73x + 30x2 = 0 Solving 54 + -73x + 30x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 30 the coefficient of the squared term: Divide each side by '30'. 1.8 + -2.433333333x + x2 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + -2.433333333x + -1.8 + x2 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + -2.433333333x + x2 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -2.433333333x + x2 = 0 + -1.8 -2.433333333x + x2 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 -2.433333333x + x2 = -1.8 The x term is -2.433333333x. Take half its coefficient (-1.216666667). Square it (1.480277779) and add it to both sides. Add '1.480277779' to each side of the equation. -2.433333333x + 1.480277779 + x2 = -1.8 + 1.480277779 Reorder the terms: 1.480277779 + -2.433333333x + x2 = -1.8 + 1.480277779 Combine like terms: -1.8 + 1.480277779 = -0.319722221 1.480277779 + -2.433333333x + x2 = -0.319722221 Factor a perfect square on the left side: (x + -1.216666667)(x + -1.216666667) = -0.319722221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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