7x^2-27x+170=0

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Solution for 7x^2-27x+170=0 equation:


Simplifying
7x2 + -27x + 170 = 0

Reorder the terms:
170 + -27x + 7x2 = 0

Solving
170 + -27x + 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'.
24.28571429 + -3.857142857x + x2 = 0

Move the constant term to the right:

Add '-24.28571429' to each side of the equation.
24.28571429 + -3.857142857x + -24.28571429 + x2 = 0 + -24.28571429

Reorder the terms:
24.28571429 + -24.28571429 + -3.857142857x + x2 = 0 + -24.28571429

Combine like terms: 24.28571429 + -24.28571429 = 0.00000000
0.00000000 + -3.857142857x + x2 = 0 + -24.28571429
-3.857142857x + x2 = 0 + -24.28571429

Combine like terms: 0 + -24.28571429 = -24.28571429
-3.857142857x + x2 = -24.28571429

The x term is -3.857142857x.  Take half its coefficient (-1.928571429).
Square it (3.719387757) and add it to both sides.

Add '3.719387757' to each side of the equation.
-3.857142857x + 3.719387757 + x2 = -24.28571429 + 3.719387757

Reorder the terms:
3.719387757 + -3.857142857x + x2 = -24.28571429 + 3.719387757

Combine like terms: -24.28571429 + 3.719387757 = -20.566326533
3.719387757 + -3.857142857x + x2 = -20.566326533

Factor a perfect square on the left side:
(x + -1.928571429)(x + -1.928571429) = -20.566326533

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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