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Simplifying 19x2 + 19x + 12 = 0 Reorder the terms: 12 + 19x + 19x2 = 0 Solving 12 + 19x + 19x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 19 the coefficient of the squared term: Divide each side by '19'. 0.6315789474 + x + x2 = 0 Move the constant term to the right: Add '-0.6315789474' to each side of the equation. 0.6315789474 + x + -0.6315789474 + x2 = 0 + -0.6315789474 Reorder the terms: 0.6315789474 + -0.6315789474 + x + x2 = 0 + -0.6315789474 Combine like terms: 0.6315789474 + -0.6315789474 = 0.0000000000 0.0000000000 + x + x2 = 0 + -0.6315789474 x + x2 = 0 + -0.6315789474 Combine like terms: 0 + -0.6315789474 = -0.6315789474 x + x2 = -0.6315789474 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. + 0.25 + x2 = -0.6315789474 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = -0.6315789474 + 0.25 Combine like terms: -0.6315789474 + 0.25 = -0.3815789474 1.25 + x2 = -0.3815789474 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.3815789474 Can't calculate square root of the right side. The solution to this equation could not be determined.
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