8.99311x^2-46.6916x+61=0

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Solution for 8.99311x^2-46.6916x+61=0 equation:


Simplifying
8.99311x2 + -46.6916x + 61 = 0

Reorder the terms:
61 + -46.6916x + 8.99311x2 = 0

Solving
61 + -46.6916x + 8.99311x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
8.99311 the coefficient of the squared term: 

Divide each side by '8.99311'.
6.782970519 + -5.191930267x + x2 = 0

Move the constant term to the right:

Add '-6.782970519' to each side of the equation.
6.782970519 + -5.191930267x + -6.782970519 + x2 = 0 + -6.782970519

Reorder the terms:
6.782970519 + -6.782970519 + -5.191930267x + x2 = 0 + -6.782970519

Combine like terms: 6.782970519 + -6.782970519 = 0.000000000
0.000000000 + -5.191930267x + x2 = 0 + -6.782970519
-5.191930267x + x2 = 0 + -6.782970519

Combine like terms: 0 + -6.782970519 = -6.782970519
-5.191930267x + x2 = -6.782970519

The x term is -5.191930267x.  Take half its coefficient (-2.595965134).
Square it (6.739034977) and add it to both sides.

Add '6.739034977' to each side of the equation.
-5.191930267x + 6.739034977 + x2 = -6.782970519 + 6.739034977

Reorder the terms:
6.739034977 + -5.191930267x + x2 = -6.782970519 + 6.739034977

Combine like terms: -6.782970519 + 6.739034977 = -0.043935542
6.739034977 + -5.191930267x + x2 = -0.043935542

Factor a perfect square on the left side:
(x + -2.595965134)(x + -2.595965134) = -0.043935542

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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