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Simplifying 0.0075x2 + 2x + 1200 = 0 Reorder the terms: 1200 + 2x + 0.0075x2 = 0 Solving 1200 + 2x + 0.0075x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.0075 the coefficient of the squared term: Divide each side by '0.0075'. 160000 + 266.6666667x + x2 = 0 Move the constant term to the right: Add '-160000' to each side of the equation. 160000 + 266.6666667x + -160000 + x2 = 0 + -160000 Reorder the terms: 160000 + -160000 + 266.6666667x + x2 = 0 + -160000 Combine like terms: 160000 + -160000 = 0 0 + 266.6666667x + x2 = 0 + -160000 266.6666667x + x2 = 0 + -160000 Combine like terms: 0 + -160000 = -160000 266.6666667x + x2 = -160000 The x term is 266.6666667x. Take half its coefficient (133.3333334). Square it (17777.77780) and add it to both sides. Add '17777.77780' to each side of the equation. 266.6666667x + 17777.77780 + x2 = -160000 + 17777.77780 Reorder the terms: 17777.77780 + 266.6666667x + x2 = -160000 + 17777.77780 Combine like terms: -160000 + 17777.77780 = -142222.2222 17777.77780 + 266.6666667x + x2 = -142222.2222 Factor a perfect square on the left side: (x + 133.3333334)(x + 133.3333334) = -142222.2222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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