18x^2-36x+18x=9-36

Solution for 18x^2-36x+18x=9-36 equation:

Simplifying
18x2 + -36x + 18x = 9 + -36

Reorder the terms:
-36x + 18x + 18x2 = 9 + -36

Combine like terms: -36x + 18x = -18x
-18x + 18x2 = 9 + -36

Combine like terms: 9 + -36 = -27
-18x + 18x2 = -27

Solving
-18x + 18x2 = -27

Solving for variable 'x'.

Reorder the terms:
27 + -18x + 18x2 = -27 + 27

Combine like terms: -27 + 27 = 0
27 + -18x + 18x2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(3 + -2x + 2x2) = 0

Ignore the factor 9.
Subproblem 1
Set the factor '(3 + -2x + 2x2)' equal to zero and attempt to solve:

Simplifying
3 + -2x + 2x2 = 0

Solving
3 + -2x + 2x2 = 0

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

Divide each side by '2'.
1.5 + -1x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -1x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -1x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -1x + x2 = 0 + -1.5
-1x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-1x + x2 = -1.5

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -1.5 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1.5 + 0.25

Combine like terms: -1.5 + 0.25 = -1.25
0.25 + -1x + x2 = -1.25

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -1.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.