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Simplifying 12x2 + -108x + 473 = 0 Reorder the terms: 473 + -108x + 12x2 = 0 Solving 473 + -108x + 12x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 39.41666667 + -9x + x2 = 0 Move the constant term to the right: Add '-39.41666667' to each side of the equation. 39.41666667 + -9x + -39.41666667 + x2 = 0 + -39.41666667 Reorder the terms: 39.41666667 + -39.41666667 + -9x + x2 = 0 + -39.41666667 Combine like terms: 39.41666667 + -39.41666667 = 0.00000000 0.00000000 + -9x + x2 = 0 + -39.41666667 -9x + x2 = 0 + -39.41666667 Combine like terms: 0 + -39.41666667 = -39.41666667 -9x + x2 = -39.41666667 The x term is -9x. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9x + 20.25 + x2 = -39.41666667 + 20.25 Reorder the terms: 20.25 + -9x + x2 = -39.41666667 + 20.25 Combine like terms: -39.41666667 + 20.25 = -19.16666667 20.25 + -9x + x2 = -19.16666667 Factor a perfect square on the left side: (x + -4.5)(x + -4.5) = -19.16666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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