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Simplifying 5x = -1 + -7x2 Solving 5x = -1 + -7x2 Solving for variable 'x'. Reorder the terms: 1 + 5x + 7x2 = -1 + -7x2 + 1 + 7x2 Reorder the terms: 1 + 5x + 7x2 = -1 + 1 + -7x2 + 7x2 Combine like terms: -1 + 1 = 0 1 + 5x + 7x2 = 0 + -7x2 + 7x2 1 + 5x + 7x2 = -7x2 + 7x2 Combine like terms: -7x2 + 7x2 = 0 1 + 5x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.1428571429 + 0.7142857143x + x2 = 0 Move the constant term to the right: Add '-0.1428571429' to each side of the equation. 0.1428571429 + 0.7142857143x + -0.1428571429 + x2 = 0 + -0.1428571429 Reorder the terms: 0.1428571429 + -0.1428571429 + 0.7142857143x + x2 = 0 + -0.1428571429 Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000 0.0000000000 + 0.7142857143x + x2 = 0 + -0.1428571429 0.7142857143x + x2 = 0 + -0.1428571429 Combine like terms: 0 + -0.1428571429 = -0.1428571429 0.7142857143x + x2 = -0.1428571429 The x term is 0.7142857143x. Take half its coefficient (0.3571428572). Square it (0.1275510204) and add it to both sides. Add '0.1275510204' to each side of the equation. 0.7142857143x + 0.1275510204 + x2 = -0.1428571429 + 0.1275510204 Reorder the terms: 0.1275510204 + 0.7142857143x + x2 = -0.1428571429 + 0.1275510204 Combine like terms: -0.1428571429 + 0.1275510204 = -0.0153061225 0.1275510204 + 0.7142857143x + x2 = -0.0153061225 Factor a perfect square on the left side: (x + 0.3571428572)(x + 0.3571428572) = -0.0153061225 Can't calculate square root of the right side. The solution to this equation could not be determined.
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