5x^2-44x+139=0

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Solution for 5x^2-44x+139=0 equation:


Simplifying
5x2 + -44x + 139 = 0

Reorder the terms:
139 + -44x + 5x2 = 0

Solving
139 + -44x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
27.8 + -8.8x + x2 = 0

Move the constant term to the right:

Add '-27.8' to each side of the equation.
27.8 + -8.8x + -27.8 + x2 = 0 + -27.8

Reorder the terms:
27.8 + -27.8 + -8.8x + x2 = 0 + -27.8

Combine like terms: 27.8 + -27.8 = 0.0
0.0 + -8.8x + x2 = 0 + -27.8
-8.8x + x2 = 0 + -27.8

Combine like terms: 0 + -27.8 = -27.8
-8.8x + x2 = -27.8

The x term is -8.8x.  Take half its coefficient (-4.4).
Square it (19.36) and add it to both sides.

Add '19.36' to each side of the equation.
-8.8x + 19.36 + x2 = -27.8 + 19.36

Reorder the terms:
19.36 + -8.8x + x2 = -27.8 + 19.36

Combine like terms: -27.8 + 19.36 = -8.44
19.36 + -8.8x + x2 = -8.44

Factor a perfect square on the left side:
(x + -4.4)(x + -4.4) = -8.44

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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