7x^2-20x+28=0

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Solution for 7x^2-20x+28=0 equation:


Simplifying
7x2 + -20x + 28 = 0

Reorder the terms:
28 + -20x + 7x2 = 0

Solving
28 + -20x + 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'.
4 + -2.857142857x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -2.857142857x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -2.857142857x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -2.857142857x + x2 = 0 + -4
-2.857142857x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-2.857142857x + x2 = -4

The x term is -2.857142857x.  Take half its coefficient (-1.428571429).
Square it (2.040816328) and add it to both sides.

Add '2.040816328' to each side of the equation.
-2.857142857x + 2.040816328 + x2 = -4 + 2.040816328

Reorder the terms:
2.040816328 + -2.857142857x + x2 = -4 + 2.040816328

Combine like terms: -4 + 2.040816328 = -1.959183672
2.040816328 + -2.857142857x + x2 = -1.959183672

Factor a perfect square on the left side:
(x + -1.428571429)(x + -1.428571429) = -1.959183672

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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