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Simplifying 9.8x2 + 30x + 200 = 0 Reorder the terms: 200 + 30x + 9.8x2 = 0 Solving 200 + 30x + 9.8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9.8 the coefficient of the squared term: Divide each side by '9.8'. 20.40816327 + 3.06122449x + x2 = 0 Move the constant term to the right: Add '-20.40816327' to each side of the equation. 20.40816327 + 3.06122449x + -20.40816327 + x2 = 0 + -20.40816327 Reorder the terms: 20.40816327 + -20.40816327 + 3.06122449x + x2 = 0 + -20.40816327 Combine like terms: 20.40816327 + -20.40816327 = 0.00000000 0.00000000 + 3.06122449x + x2 = 0 + -20.40816327 3.06122449x + x2 = 0 + -20.40816327 Combine like terms: 0 + -20.40816327 = -20.40816327 3.06122449x + x2 = -20.40816327 The x term is 3.06122449x. Take half its coefficient (1.530612245). Square it (2.342773845) and add it to both sides. Add '2.342773845' to each side of the equation. 3.06122449x + 2.342773845 + x2 = -20.40816327 + 2.342773845 Reorder the terms: 2.342773845 + 3.06122449x + x2 = -20.40816327 + 2.342773845 Combine like terms: -20.40816327 + 2.342773845 = -18.065389425 2.342773845 + 3.06122449x + x2 = -18.065389425 Factor a perfect square on the left side: (x + 1.530612245)(x + 1.530612245) = -18.065389425 Can't calculate square root of the right side. The solution to this equation could not be determined.
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