3362.1x^2-17270x+24043=0

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Solution for 3362.1x^2-17270x+24043=0 equation:


Simplifying
3362.1x2 + -17270x + 24043 = 0

Reorder the terms:
24043 + -17270x + 3362.1x2 = 0

Solving
24043 + -17270x + 3362.1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
3362.1 the coefficient of the squared term: 

Divide each side by '3362.1'.
7.151185271 + -5.136670533x + x2 = 0

Move the constant term to the right:

Add '-7.151185271' to each side of the equation.
7.151185271 + -5.136670533x + -7.151185271 + x2 = 0 + -7.151185271

Reorder the terms:
7.151185271 + -7.151185271 + -5.136670533x + x2 = 0 + -7.151185271

Combine like terms: 7.151185271 + -7.151185271 = 0.000000000
0.000000000 + -5.136670533x + x2 = 0 + -7.151185271
-5.136670533x + x2 = 0 + -7.151185271

Combine like terms: 0 + -7.151185271 = -7.151185271
-5.136670533x + x2 = -7.151185271

The x term is -5.136670533x.  Take half its coefficient (-2.568335267).
Square it (6.596346044) and add it to both sides.

Add '6.596346044' to each side of the equation.
-5.136670533x + 6.596346044 + x2 = -7.151185271 + 6.596346044

Reorder the terms:
6.596346044 + -5.136670533x + x2 = -7.151185271 + 6.596346044

Combine like terms: -7.151185271 + 6.596346044 = -0.554839227
6.596346044 + -5.136670533x + x2 = -0.554839227

Factor a perfect square on the left side:
(x + -2.568335267)(x + -2.568335267) = -0.554839227

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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