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Simplifying 6x + -4(x + -2) = 7x(3x + -4) + 19 Reorder the terms: 6x + -4(-2 + x) = 7x(3x + -4) + 19 6x + (-2 * -4 + x * -4) = 7x(3x + -4) + 19 6x + (8 + -4x) = 7x(3x + -4) + 19 Reorder the terms: 8 + 6x + -4x = 7x(3x + -4) + 19 Combine like terms: 6x + -4x = 2x 8 + 2x = 7x(3x + -4) + 19 Reorder the terms: 8 + 2x = 7x(-4 + 3x) + 19 8 + 2x = (-4 * 7x + 3x * 7x) + 19 8 + 2x = (-28x + 21x2) + 19 Reorder the terms: 8 + 2x = 19 + -28x + 21x2 Solving 8 + 2x = 19 + -28x + 21x2 Solving for variable 'x'. Reorder the terms: 8 + -19 + 2x + 28x + -21x2 = 19 + -28x + 21x2 + -19 + 28x + -21x2 Combine like terms: 8 + -19 = -11 -11 + 2x + 28x + -21x2 = 19 + -28x + 21x2 + -19 + 28x + -21x2 Combine like terms: 2x + 28x = 30x -11 + 30x + -21x2 = 19 + -28x + 21x2 + -19 + 28x + -21x2 Reorder the terms: -11 + 30x + -21x2 = 19 + -19 + -28x + 28x + 21x2 + -21x2 Combine like terms: 19 + -19 = 0 -11 + 30x + -21x2 = 0 + -28x + 28x + 21x2 + -21x2 -11 + 30x + -21x2 = -28x + 28x + 21x2 + -21x2 Combine like terms: -28x + 28x = 0 -11 + 30x + -21x2 = 0 + 21x2 + -21x2 -11 + 30x + -21x2 = 21x2 + -21x2 Combine like terms: 21x2 + -21x2 = 0 -11 + 30x + -21x2 = 0 Begin completing the square. Divide all terms by -21 the coefficient of the squared term: Divide each side by '-21'. 0.5238095238 + -1.428571429x + x2 = 0 Move the constant term to the right: Add '-0.5238095238' to each side of the equation. 0.5238095238 + -1.428571429x + -0.5238095238 + x2 = 0 + -0.5238095238 Reorder the terms: 0.5238095238 + -0.5238095238 + -1.428571429x + x2 = 0 + -0.5238095238 Combine like terms: 0.5238095238 + -0.5238095238 = 0.0000000000 0.0000000000 + -1.428571429x + x2 = 0 + -0.5238095238 -1.428571429x + x2 = 0 + -0.5238095238 Combine like terms: 0 + -0.5238095238 = -0.5238095238 -1.428571429x + x2 = -0.5238095238 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 = -0.5238095238 + 0.5102040819 Reorder the terms: 0.5102040819 + -1.428571429x + x2 = -0.5238095238 + 0.5102040819 Combine like terms: -0.5238095238 + 0.5102040819 = -0.0136054419 0.5102040819 + -1.428571429x + x2 = -0.0136054419 Factor a perfect square on the left side: (x + -0.7142857145)(x + -0.7142857145) = -0.0136054419 Can't calculate square root of the right side. The solution to this equation could not be determined.
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