2=36x-(2x*2x)

Solution for 2=36x-(2x*2x) equation:

Simplifying
2 = 36x + -1(2x * 2x)

Reorder the terms for easier multiplication:
2 = 36x + -1(2 * 2x * x)

Multiply 2 * 2
2 = 36x + -1(4x * x)

Multiply x * x
2 = 36x + -1(4x2)

Remove parenthesis around (4x2)
2 = 36x + -1 * 4x2

Multiply -1 * 4
2 = 36x + -4x2

Solving
2 = 36x + -4x2

Solving for variable 'x'.

Reorder the terms:
2 + -36x + 4x2 = 36x + -36x + -4x2 + 4x2

Combine like terms: 36x + -36x = 0
2 + -36x + 4x2 = 0 + -4x2 + 4x2
2 + -36x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
2 + -36x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -18x + 2x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -18x + 2x2)' equal to zero and attempt to solve:

Simplifying
1 + -18x + 2x2 = 0

Solving
1 + -18x + 2x2 = 0

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

Divide each side by '2'.
0.5 + -9x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -9x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -9x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -9x + x2 = 0 + -0.5
-9x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-9x + x2 = -0.5

The x term is -9x.  Take half its coefficient (-4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
-9x + 20.25 + x2 = -0.5 + 20.25

Reorder the terms:
20.25 + -9x + x2 = -0.5 + 20.25

Combine like terms: -0.5 + 20.25 = 19.75
20.25 + -9x + x2 = 19.75

Factor a perfect square on the left side:
(x + -4.5)(x + -4.5) = 19.75

Calculate the square root of the right side: 4.444097209

Break this problem into two subproblems by setting 
(x + -4.5) equal to 4.444097209 and -4.444097209.

Subproblem 1
x + -4.5 = 4.444097209

Simplifying
x + -4.5 = 4.444097209

Reorder the terms:
-4.5 + x = 4.444097209

Solving
-4.5 + x = 4.444097209

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4.5' to each side of the equation.
-4.5 + 4.5 + x = 4.444097209 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + x = 4.444097209 + 4.5
x = 4.444097209 + 4.5

Combine like terms: 4.444097209 + 4.5 = 8.944097209
x = 8.944097209

Simplifying
x = 8.944097209

Subproblem 2
x + -4.5 = -4.444097209

Simplifying
x + -4.5 = -4.444097209

Reorder the terms:
-4.5 + x = -4.444097209

Solving
-4.5 + x = -4.444097209

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4.5' to each side of the equation.
-4.5 + 4.5 + x = -4.444097209 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + x = -4.444097209 + 4.5
x = -4.444097209 + 4.5

Combine like terms: -4.444097209 + 4.5 = 0.055902791
x = 0.055902791

Simplifying
x = 0.055902791

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.944097209, 0.055902791}
Solution
x = {8.944097209, 0.055902791}