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Simplifying 12x2 + 27x + 16 = 0 Reorder the terms: 16 + 27x + 12x2 = 0 Solving 16 + 27x + 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'. 1.333333333 + 2.25x + x2 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + 2.25x + -1.333333333 + x2 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + 2.25x + x2 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + 2.25x + x2 = 0 + -1.333333333 2.25x + x2 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 2.25x + x2 = -1.333333333 The x term is 2.25x. Take half its coefficient (1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. 2.25x + 1.265625 + x2 = -1.333333333 + 1.265625 Reorder the terms: 1.265625 + 2.25x + x2 = -1.333333333 + 1.265625 Combine like terms: -1.333333333 + 1.265625 = -0.067708333 1.265625 + 2.25x + x2 = -0.067708333 Factor a perfect square on the left side: (x + 1.125)(x + 1.125) = -0.067708333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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