.33x^2+31.6x+2398.33=0

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Solution for .33x^2+31.6x+2398.33=0 equation: 


Simplifying
0.33x2 + 31.6x + 2398.33 = 0

Reorder the terms:
2398.33 + 31.6x + 0.33x2 = 0

Solving
2398.33 + 31.6x + 0.33x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.33'.
7267.666667 + 95.75757576x + x2 = 0

Move the constant term to the right:

Add '-7267.666667' to each side of the equation.
7267.666667 + 95.75757576x + -7267.666667 + x2 = 0 + -7267.666667

Reorder the terms:
7267.666667 + -7267.666667 + 95.75757576x + x2 = 0 + -7267.666667

Combine like terms: 7267.666667 + -7267.666667 = 0.000000
0.000000 + 95.75757576x + x2 = 0 + -7267.666667
95.75757576x + x2 = 0 + -7267.666667

Combine like terms: 0 + -7267.666667 = -7267.666667
95.75757576x + x2 = -7267.666667

The x term is 95.75757576x.  Take half its coefficient (47.87878788).
Square it (2292.378329) and add it to both sides.

Add '2292.378329' to each side of the equation.
95.75757576x + 2292.378329 + x2 = -7267.666667 + 2292.378329

Reorder the terms:
2292.378329 + 95.75757576x + x2 = -7267.666667 + 2292.378329

Combine like terms: -7267.666667 + 2292.378329 = -4975.288338
2292.378329 + 95.75757576x + x2 = -4975.288338

Factor a perfect square on the left side:
(x + 47.87878788)(x + 47.87878788) = -4975.288338

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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