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Simplifying 5x2 + -4.9x + 8.02 = 0 Reorder the terms: 8.02 + -4.9x + 5x2 = 0 Solving 8.02 + -4.9x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.604 + -0.98x + x2 = 0 Move the constant term to the right: Add '-1.604' to each side of the equation. 1.604 + -0.98x + -1.604 + x2 = 0 + -1.604 Reorder the terms: 1.604 + -1.604 + -0.98x + x2 = 0 + -1.604 Combine like terms: 1.604 + -1.604 = 0.000 0.000 + -0.98x + x2 = 0 + -1.604 -0.98x + x2 = 0 + -1.604 Combine like terms: 0 + -1.604 = -1.604 -0.98x + x2 = -1.604 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 = -1.604 + 0.2401 Reorder the terms: 0.2401 + -0.98x + x2 = -1.604 + 0.2401 Combine like terms: -1.604 + 0.2401 = -1.3639 0.2401 + -0.98x + x2 = -1.3639 Factor a perfect square on the left side: (x + -0.49)(x + -0.49) = -1.3639 Can't calculate square root of the right side. The solution to this equation could not be determined.
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