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Simplifying 12x2 + 39x + 61 = 0 Reorder the terms: 61 + 39x + 12x2 = 0 Solving 61 + 39x + 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'. 5.083333333 + 3.25x + x2 = 0 Move the constant term to the right: Add '-5.083333333' to each side of the equation. 5.083333333 + 3.25x + -5.083333333 + x2 = 0 + -5.083333333 Reorder the terms: 5.083333333 + -5.083333333 + 3.25x + x2 = 0 + -5.083333333 Combine like terms: 5.083333333 + -5.083333333 = 0.000000000 0.000000000 + 3.25x + x2 = 0 + -5.083333333 3.25x + x2 = 0 + -5.083333333 Combine like terms: 0 + -5.083333333 = -5.083333333 3.25x + x2 = -5.083333333 The x term is 3.25x. Take half its coefficient (1.625). Square it (2.640625) and add it to both sides. Add '2.640625' to each side of the equation. 3.25x + 2.640625 + x2 = -5.083333333 + 2.640625 Reorder the terms: 2.640625 + 3.25x + x2 = -5.083333333 + 2.640625 Combine like terms: -5.083333333 + 2.640625 = -2.442708333 2.640625 + 3.25x + x2 = -2.442708333 Factor a perfect square on the left side: (x + 1.625)(x + 1.625) = -2.442708333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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