4.91x^2+8x+8.3=0

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Solution for 4.91x^2+8x+8.3=0 equation:


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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