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Simplifying 50x2 + -49x + 294 = 0 Reorder the terms: 294 + -49x + 50x2 = 0 Solving 294 + -49x + 50x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 50 the coefficient of the squared term: Divide each side by '50'. 5.88 + -0.98x + x2 = 0 Move the constant term to the right: Add '-5.88' to each side of the equation. 5.88 + -0.98x + -5.88 + x2 = 0 + -5.88 Reorder the terms: 5.88 + -5.88 + -0.98x + x2 = 0 + -5.88 Combine like terms: 5.88 + -5.88 = 0.00 0.00 + -0.98x + x2 = 0 + -5.88 -0.98x + x2 = 0 + -5.88 Combine like terms: 0 + -5.88 = -5.88 -0.98x + x2 = -5.88 The x term is -0.98x. Take half its coefficient (-0.49). Square it (0.2401) and add it to both sides. Add '0.2401' to each side of the equation. -0.98x + 0.2401 + x2 = -5.88 + 0.2401 Reorder the terms: 0.2401 + -0.98x + x2 = -5.88 + 0.2401 Combine like terms: -5.88 + 0.2401 = -5.6399 0.2401 + -0.98x + x2 = -5.6399 Factor a perfect square on the left side: (x + -0.49)(x + -0.49) = -5.6399 Can't calculate square root of the right side. The solution to this equation could not be determined.
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