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Simplifying 3x2 + 2x + -1 + -8x2 = -12x2 + -8x + -6 Reorder the terms: -1 + 2x + 3x2 + -8x2 = -12x2 + -8x + -6 Combine like terms: 3x2 + -8x2 = -5x2 -1 + 2x + -5x2 = -12x2 + -8x + -6 Reorder the terms: -1 + 2x + -5x2 = -6 + -8x + -12x2 Solving -1 + 2x + -5x2 = -6 + -8x + -12x2 Solving for variable 'x'. Reorder the terms: -1 + 6 + 2x + 8x + -5x2 + 12x2 = -6 + -8x + -12x2 + 6 + 8x + 12x2 Combine like terms: -1 + 6 = 5 5 + 2x + 8x + -5x2 + 12x2 = -6 + -8x + -12x2 + 6 + 8x + 12x2 Combine like terms: 2x + 8x = 10x 5 + 10x + -5x2 + 12x2 = -6 + -8x + -12x2 + 6 + 8x + 12x2 Combine like terms: -5x2 + 12x2 = 7x2 5 + 10x + 7x2 = -6 + -8x + -12x2 + 6 + 8x + 12x2 Reorder the terms: 5 + 10x + 7x2 = -6 + 6 + -8x + 8x + -12x2 + 12x2 Combine like terms: -6 + 6 = 0 5 + 10x + 7x2 = 0 + -8x + 8x + -12x2 + 12x2 5 + 10x + 7x2 = -8x + 8x + -12x2 + 12x2 Combine like terms: -8x + 8x = 0 5 + 10x + 7x2 = 0 + -12x2 + 12x2 5 + 10x + 7x2 = -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 0 5 + 10x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.7142857143 + 1.428571429x + x2 = 0 Move the constant term to the right: Add '-0.7142857143' to each side of the equation. 0.7142857143 + 1.428571429x + -0.7142857143 + x2 = 0 + -0.7142857143 Reorder the terms: 0.7142857143 + -0.7142857143 + 1.428571429x + x2 = 0 + -0.7142857143 Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000 0.0000000000 + 1.428571429x + x2 = 0 + -0.7142857143 1.428571429x + x2 = 0 + -0.7142857143 Combine like terms: 0 + -0.7142857143 = -0.7142857143 1.428571429x + x2 = -0.7142857143 The x term is 1.428571429x. Take half its coefficient (0.7142857145). Square it (0.5102040819) and add it to both sides. Add '0.5102040819' to each side of the equation. 1.428571429x + 0.5102040819 + x2 = -0.7142857143 + 0.5102040819 Reorder the terms: 0.5102040819 + 1.428571429x + x2 = -0.7142857143 + 0.5102040819 Combine like terms: -0.7142857143 + 0.5102040819 = -0.2040816324 0.5102040819 + 1.428571429x + x2 = -0.2040816324 Factor a perfect square on the left side: (x + 0.7142857145)(x + 0.7142857145) = -0.2040816324 Can't calculate square root of the right side. The solution to this equation could not be determined.
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