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Simplifying 2 + x(7x + -4) = 1 Reorder the terms: 2 + x(-4 + 7x) = 1 2 + (-4 * x + 7x * x) = 1 2 + (-4x + 7x2) = 1 Solving 2 + -4x + 7x2 = 1 Solving for variable 'x'. Reorder the terms: 2 + -1 + -4x + 7x2 = 1 + -1 Combine like terms: 2 + -1 = 1 1 + -4x + 7x2 = 1 + -1 Combine like terms: 1 + -1 = 0 1 + -4x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.1428571429 + -0.5714285714x + x2 = 0 Move the constant term to the right: Add '-0.1428571429' to each side of the equation. 0.1428571429 + -0.5714285714x + -0.1428571429 + x2 = 0 + -0.1428571429 Reorder the terms: 0.1428571429 + -0.1428571429 + -0.5714285714x + x2 = 0 + -0.1428571429 Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000 0.0000000000 + -0.5714285714x + x2 = 0 + -0.1428571429 -0.5714285714x + x2 = 0 + -0.1428571429 Combine like terms: 0 + -0.1428571429 = -0.1428571429 -0.5714285714x + x2 = -0.1428571429 The x term is -0.5714285714x. Take half its coefficient (-0.2857142857). Square it (0.08163265305) and add it to both sides. Add '0.08163265305' to each side of the equation. -0.5714285714x + 0.08163265305 + x2 = -0.1428571429 + 0.08163265305 Reorder the terms: 0.08163265305 + -0.5714285714x + x2 = -0.1428571429 + 0.08163265305 Combine like terms: -0.1428571429 + 0.08163265305 = -0.06122448985 0.08163265305 + -0.5714285714x + x2 = -0.06122448985 Factor a perfect square on the left side: (x + -0.2857142857)(x + -0.2857142857) = -0.06122448985 Can't calculate square root of the right side. The solution to this equation could not be determined.
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