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Simplifying 7x2 = -10 + 5x Solving 7x2 = -10 + 5x Solving for variable 'x'. Reorder the terms: 10 + -5x + 7x2 = -10 + 5x + 10 + -5x Reorder the terms: 10 + -5x + 7x2 = -10 + 10 + 5x + -5x Combine like terms: -10 + 10 = 0 10 + -5x + 7x2 = 0 + 5x + -5x 10 + -5x + 7x2 = 5x + -5x Combine like terms: 5x + -5x = 0 10 + -5x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.428571429 + -0.7142857143x + x2 = 0 Move the constant term to the right: Add '-1.428571429' to each side of the equation. 1.428571429 + -0.7142857143x + -1.428571429 + x2 = 0 + -1.428571429 Reorder the terms: 1.428571429 + -1.428571429 + -0.7142857143x + x2 = 0 + -1.428571429 Combine like terms: 1.428571429 + -1.428571429 = 0.000000000 0.000000000 + -0.7142857143x + x2 = 0 + -1.428571429 -0.7142857143x + x2 = 0 + -1.428571429 Combine like terms: 0 + -1.428571429 = -1.428571429 -0.7142857143x + x2 = -1.428571429 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 = -1.428571429 + 0.1275510204 Reorder the terms: 0.1275510204 + -0.7142857143x + x2 = -1.428571429 + 0.1275510204 Combine like terms: -1.428571429 + 0.1275510204 = -1.3010204086 0.1275510204 + -0.7142857143x + x2 = -1.3010204086 Factor a perfect square on the left side: (x + -0.3571428572)(x + -0.3571428572) = -1.3010204086 Can't calculate square root of the right side. The solution to this equation could not be determined.
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