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Simplifying 0.7x2 + 12x + 200 = 0 Reorder the terms: 200 + 12x + 0.7x2 = 0 Solving 200 + 12x + 0.7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.7 the coefficient of the squared term: Divide each side by '0.7'. 285.7142857 + 17.14285714x + x2 = 0 Move the constant term to the right: Add '-285.7142857' to each side of the equation. 285.7142857 + 17.14285714x + -285.7142857 + x2 = 0 + -285.7142857 Reorder the terms: 285.7142857 + -285.7142857 + 17.14285714x + x2 = 0 + -285.7142857 Combine like terms: 285.7142857 + -285.7142857 = 0.0000000 0.0000000 + 17.14285714x + x2 = 0 + -285.7142857 17.14285714x + x2 = 0 + -285.7142857 Combine like terms: 0 + -285.7142857 = -285.7142857 17.14285714x + x2 = -285.7142857 The x term is 17.14285714x. Take half its coefficient (8.57142857). Square it (73.46938773) and add it to both sides. Add '73.46938773' to each side of the equation. 17.14285714x + 73.46938773 + x2 = -285.7142857 + 73.46938773 Reorder the terms: 73.46938773 + 17.14285714x + x2 = -285.7142857 + 73.46938773 Combine like terms: -285.7142857 + 73.46938773 = -212.24489797 73.46938773 + 17.14285714x + x2 = -212.24489797 Factor a perfect square on the left side: (x + 8.57142857)(x + 8.57142857) = -212.24489797 Can't calculate square root of the right side. The solution to this equation could not be determined.
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