7x^2-24x+17000=0

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Solution for 7x^2-24x+17000=0 equation: 


Simplifying
7x2 + -24x + 17000 = 0

Reorder the terms:
17000 + -24x + 7x2 = 0

Solving
17000 + -24x + 7x2 = 0

Solving for variable 'x'.

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

Divide each side by '7'.
2428.571429 + -3.428571429x + x2 = 0

Move the constant term to the right:

Add '-2428.571429' to each side of the equation.
2428.571429 + -3.428571429x + -2428.571429 + x2 = 0 + -2428.571429

Reorder the terms:
2428.571429 + -2428.571429 + -3.428571429x + x2 = 0 + -2428.571429

Combine like terms: 2428.571429 + -2428.571429 = 0.000000
0.000000 + -3.428571429x + x2 = 0 + -2428.571429
-3.428571429x + x2 = 0 + -2428.571429

Combine like terms: 0 + -2428.571429 = -2428.571429
-3.428571429x + x2 = -2428.571429

The x term is -3.428571429x.  Take half its coefficient (-1.714285715).
Square it (2.938775513) and add it to both sides.

Add '2.938775513' to each side of the equation.
-3.428571429x + 2.938775513 + x2 = -2428.571429 + 2.938775513

Reorder the terms:
2.938775513 + -3.428571429x + x2 = -2428.571429 + 2.938775513

Combine like terms: -2428.571429 + 2.938775513 = -2425.632653487
2.938775513 + -3.428571429x + x2 = -2425.632653487

Factor a perfect square on the left side:
(x + -1.714285715)(x + -1.714285715) = -2425.632653487

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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