5x^2-70x+258=0

Solution for 5x^2-70x+258=0 equation:

Simplifying
5x2 + -70x + 258 = 0

Reorder the terms:
258 + -70x + 5x2 = 0

Solving
258 + -70x + 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'.
51.6 + -14x + x2 = 0

Move the constant term to the right:

Add '-51.6' to each side of the equation.
51.6 + -14x + -51.6 + x2 = 0 + -51.6

Reorder the terms:
51.6 + -51.6 + -14x + x2 = 0 + -51.6

Combine like terms: 51.6 + -51.6 = 0.0
0.0 + -14x + x2 = 0 + -51.6
-14x + x2 = 0 + -51.6

Combine like terms: 0 + -51.6 = -51.6
-14x + x2 = -51.6

The x term is -14x.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14x + 49 + x2 = -51.6 + 49

Reorder the terms:
49 + -14x + x2 = -51.6 + 49

Combine like terms: -51.6 + 49 = -2.6
49 + -14x + x2 = -2.6

Factor a perfect square on the left side:
(x + -7)(x + -7) = -2.6

Can't calculate square root of the right side.

The solution to this equation could not be determined.