7x^2-18x+108=0

Solution for 7x^2-18x+108=0 equation:

Simplifying
7x2 + -18x + 108 = 0

Reorder the terms:
108 + -18x + 7x2 = 0

Solving
108 + -18x + 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'.
15.42857143 + -2.571428571x + x2 = 0

Move the constant term to the right:

Add '-15.42857143' to each side of the equation.
15.42857143 + -2.571428571x + -15.42857143 + x2 = 0 + -15.42857143

Reorder the terms:
15.42857143 + -15.42857143 + -2.571428571x + x2 = 0 + -15.42857143

Combine like terms: 15.42857143 + -15.42857143 = 0.00000000
0.00000000 + -2.571428571x + x2 = 0 + -15.42857143
-2.571428571x + x2 = 0 + -15.42857143

Combine like terms: 0 + -15.42857143 = -15.42857143
-2.571428571x + x2 = -15.42857143

The x term is -2.571428571x.  Take half its coefficient (-1.285714286).
Square it (1.653061225) and add it to both sides.

Add '1.653061225' to each side of the equation.
-2.571428571x + 1.653061225 + x2 = -15.42857143 + 1.653061225

Reorder the terms:
1.653061225 + -2.571428571x + x2 = -15.42857143 + 1.653061225

Combine like terms: -15.42857143 + 1.653061225 = -13.775510205
1.653061225 + -2.571428571x + x2 = -13.775510205

Factor a perfect square on the left side:
(x + -1.285714286)(x + -1.285714286) = -13.775510205

Can't calculate square root of the right side.

The solution to this equation could not be determined.