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Simplifying 3.8x(-1 + -9.7x) = 2.6 + 13.3x (-1 * 3.8x + -9.7x * 3.8x) = 2.6 + 13.3x (-3.8x + -36.86x2) = 2.6 + 13.3x Solving -3.8x + -36.86x2 = 2.6 + 13.3x Solving for variable 'x'. Reorder the terms: -2.6 + -3.8x + -13.3x + -36.86x2 = 2.6 + 13.3x + -2.6 + -13.3x Combine like terms: -3.8x + -13.3x = -17.1x -2.6 + -17.1x + -36.86x2 = 2.6 + 13.3x + -2.6 + -13.3x Reorder the terms: -2.6 + -17.1x + -36.86x2 = 2.6 + -2.6 + 13.3x + -13.3x Combine like terms: 2.6 + -2.6 = 0.0 -2.6 + -17.1x + -36.86x2 = 0.0 + 13.3x + -13.3x -2.6 + -17.1x + -36.86x2 = 13.3x + -13.3x Combine like terms: 13.3x + -13.3x = 0.0 -2.6 + -17.1x + -36.86x2 = 0.0 Begin completing the square. Divide all terms by -36.86 the coefficient of the squared term: Divide each side by '-36.86'. 0.07053716766 + 0.4639175258x + x2 = 0 Move the constant term to the right: Add '-0.07053716766' to each side of the equation. 0.07053716766 + 0.4639175258x + -0.07053716766 + x2 = 0 + -0.07053716766 Reorder the terms: 0.07053716766 + -0.07053716766 + 0.4639175258x + x2 = 0 + -0.07053716766 Combine like terms: 0.07053716766 + -0.07053716766 = 0.00000000000 0.00000000000 + 0.4639175258x + x2 = 0 + -0.07053716766 0.4639175258x + x2 = 0 + -0.07053716766 Combine like terms: 0 + -0.07053716766 = -0.07053716766 0.4639175258x + x2 = -0.07053716766 The x term is 0.4639175258x. Take half its coefficient (0.2319587629). Square it (0.05380486769) and add it to both sides. Add '0.05380486769' to each side of the equation. 0.4639175258x + 0.05380486769 + x2 = -0.07053716766 + 0.05380486769 Reorder the terms: 0.05380486769 + 0.4639175258x + x2 = -0.07053716766 + 0.05380486769 Combine like terms: -0.07053716766 + 0.05380486769 = -0.01673229997 0.05380486769 + 0.4639175258x + x2 = -0.01673229997 Factor a perfect square on the left side: (x + 0.2319587629)(x + 0.2319587629) = -0.01673229997 Can't calculate square root of the right side. The solution to this equation could not be determined.
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