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Simplifying 4.91x2 + 8x + 8.3 = 0 Reorder the terms: 8.3 + 8x + 4.91x2 = 0 Solving 8.3 + 8x + 4.91x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4.91 the coefficient of the squared term: Divide each side by '4.91'. 1.690427699 + 1.629327902x + x2 = 0 Move the constant term to the right: Add '-1.690427699' to each side of the equation. 1.690427699 + 1.629327902x + -1.690427699 + x2 = 0 + -1.690427699 Reorder the terms: 1.690427699 + -1.690427699 + 1.629327902x + x2 = 0 + -1.690427699 Combine like terms: 1.690427699 + -1.690427699 = 0.000000000 0.000000000 + 1.629327902x + x2 = 0 + -1.690427699 1.629327902x + x2 = 0 + -1.690427699 Combine like terms: 0 + -1.690427699 = -1.690427699 1.629327902x + x2 = -1.690427699 The x term is 1.629327902x. Take half its coefficient (0.814663951). Square it (0.6636773531) and add it to both sides. Add '0.6636773531' to each side of the equation. 1.629327902x + 0.6636773531 + x2 = -1.690427699 + 0.6636773531 Reorder the terms: 0.6636773531 + 1.629327902x + x2 = -1.690427699 + 0.6636773531 Combine like terms: -1.690427699 + 0.6636773531 = -1.0267503459 0.6636773531 + 1.629327902x + x2 = -1.0267503459 Factor a perfect square on the left side: (x + 0.814663951)(x + 0.814663951) = -1.0267503459 Can't calculate square root of the right side. The solution to this equation could not be determined.
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