7x^2-78x+225=0

Solution for 7x^2-78x+225=0 equation:

Simplifying
7x2 + -78x + 225 = 0

Reorder the terms:
225 + -78x + 7x2 = 0

Solving
225 + -78x + 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'.
32.14285714 + -11.14285714x + x2 = 0

Move the constant term to the right:

Add '-32.14285714' to each side of the equation.
32.14285714 + -11.14285714x + -32.14285714 + x2 = 0 + -32.14285714

Reorder the terms:
32.14285714 + -32.14285714 + -11.14285714x + x2 = 0 + -32.14285714

Combine like terms: 32.14285714 + -32.14285714 = 0.00000000
0.00000000 + -11.14285714x + x2 = 0 + -32.14285714
-11.14285714x + x2 = 0 + -32.14285714

Combine like terms: 0 + -32.14285714 = -32.14285714
-11.14285714x + x2 = -32.14285714

The x term is -11.14285714x.  Take half its coefficient (-5.57142857).
Square it (31.04081631) and add it to both sides.

Add '31.04081631' to each side of the equation.
-11.14285714x + 31.04081631 + x2 = -32.14285714 + 31.04081631

Reorder the terms:
31.04081631 + -11.14285714x + x2 = -32.14285714 + 31.04081631

Combine like terms: -32.14285714 + 31.04081631 = -1.10204083
31.04081631 + -11.14285714x + x2 = -1.10204083

Factor a perfect square on the left side:
(x + -5.57142857)(x + -5.57142857) = -1.10204083

Can't calculate square root of the right side.

The solution to this equation could not be determined.