13.374x^2-258.431x+1724.415=0

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Solution for 13.374x^2-258.431x+1724.415=0 equation:


Simplifying
13.374x2 + -258.431x + 1724.415 = 0

Reorder the terms:
1724.415 + -258.431x + 13.374x2 = 0

Solving
1724.415 + -258.431x + 13.374x2 = 0

Solving for variable 'x'.

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

Divide each side by '13.374'.
128.9378645 + -19.32338866x + x2 = 0

Move the constant term to the right:

Add '-128.9378645' to each side of the equation.
128.9378645 + -19.32338866x + -128.9378645 + x2 = 0 + -128.9378645

Reorder the terms:
128.9378645 + -128.9378645 + -19.32338866x + x2 = 0 + -128.9378645

Combine like terms: 128.9378645 + -128.9378645 = 0.0000000
0.0000000 + -19.32338866x + x2 = 0 + -128.9378645
-19.32338866x + x2 = 0 + -128.9378645

Combine like terms: 0 + -128.9378645 = -128.9378645
-19.32338866x + x2 = -128.9378645

The x term is -19.32338866x.  Take half its coefficient (-9.66169433).
Square it (93.34833733) and add it to both sides.

Add '93.34833733' to each side of the equation.
-19.32338866x + 93.34833733 + x2 = -128.9378645 + 93.34833733

Reorder the terms:
93.34833733 + -19.32338866x + x2 = -128.9378645 + 93.34833733

Combine like terms: -128.9378645 + 93.34833733 = -35.58952717
93.34833733 + -19.32338866x + x2 = -35.58952717

Factor a perfect square on the left side:
(x + -9.66169433)(x + -9.66169433) = -35.58952717

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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