5x^2-56x+175=0

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Solution for 5x^2-56x+175=0 equation:


Simplifying
5x2 + -56x + 175 = 0

Reorder the terms:
175 + -56x + 5x2 = 0

Solving
175 + -56x + 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'.
35 + -11.2x + x2 = 0

Move the constant term to the right:

Add '-35' to each side of the equation.
35 + -11.2x + -35 + x2 = 0 + -35

Reorder the terms:
35 + -35 + -11.2x + x2 = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -11.2x + x2 = 0 + -35
-11.2x + x2 = 0 + -35

Combine like terms: 0 + -35 = -35
-11.2x + x2 = -35

The x term is -11.2x.  Take half its coefficient (-5.6).
Square it (31.36) and add it to both sides.

Add '31.36' to each side of the equation.
-11.2x + 31.36 + x2 = -35 + 31.36

Reorder the terms:
31.36 + -11.2x + x2 = -35 + 31.36

Combine like terms: -35 + 31.36 = -3.64
31.36 + -11.2x + x2 = -3.64

Factor a perfect square on the left side:
(x + -5.6)(x + -5.6) = -3.64

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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