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Simplifying -7x2 + 6x + -8 = -4 + -4x Reorder the terms: -8 + 6x + -7x2 = -4 + -4x Solving -8 + 6x + -7x2 = -4 + -4x Solving for variable 'x'. Reorder the terms: -8 + 4 + 6x + 4x + -7x2 = -4 + -4x + 4 + 4x Combine like terms: -8 + 4 = -4 -4 + 6x + 4x + -7x2 = -4 + -4x + 4 + 4x Combine like terms: 6x + 4x = 10x -4 + 10x + -7x2 = -4 + -4x + 4 + 4x Reorder the terms: -4 + 10x + -7x2 = -4 + 4 + -4x + 4x Combine like terms: -4 + 4 = 0 -4 + 10x + -7x2 = 0 + -4x + 4x -4 + 10x + -7x2 = -4x + 4x Combine like terms: -4x + 4x = 0 -4 + 10x + -7x2 = 0 Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 0.5714285714 + -1.428571429x + x2 = 0 Move the constant term to the right: Add '-0.5714285714' to each side of the equation. 0.5714285714 + -1.428571429x + -0.5714285714 + x2 = 0 + -0.5714285714 Reorder the terms: 0.5714285714 + -0.5714285714 + -1.428571429x + x2 = 0 + -0.5714285714 Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000 0.0000000000 + -1.428571429x + x2 = 0 + -0.5714285714 -1.428571429x + x2 = 0 + -0.5714285714 Combine like terms: 0 + -0.5714285714 = -0.5714285714 -1.428571429x + x2 = -0.5714285714 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 = -0.5714285714 + 0.5102040819 Reorder the terms: 0.5102040819 + -1.428571429x + x2 = -0.5714285714 + 0.5102040819 Combine like terms: -0.5714285714 + 0.5102040819 = -0.0612244895 0.5102040819 + -1.428571429x + x2 = -0.0612244895 Factor a perfect square on the left side: (x + -0.7142857145)(x + -0.7142857145) = -0.0612244895 Can't calculate square root of the right side. The solution to this equation could not be determined.
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