4x-2x^2=44

Solution for 4x-2x^2=44 equation:

Simplifying
4x + -2x2 = 44

Solving
4x + -2x2 = 44

Solving for variable 'x'.

Reorder the terms:
-44 + 4x + -2x2 = 44 + -44

Combine like terms: 44 + -44 = 0
-44 + 4x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-22 + 2x + -1x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-22 + 2x + -1x2)' equal to zero and attempt to solve:

Simplifying
-22 + 2x + -1x2 = 0

Solving
-22 + 2x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
22 + -2x + x2 = 0

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + -2x + -22 + x2 = 0 + -22

Reorder the terms:
22 + -22 + -2x + x2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -2x + x2 = 0 + -22
-2x + x2 = 0 + -22

Combine like terms: 0 + -22 = -22
-2x + x2 = -22

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -22 + 1

Reorder the terms:
1 + -2x + x2 = -22 + 1

Combine like terms: -22 + 1 = -21
1 + -2x + x2 = -21

Factor a perfect square on the left side:
(x + -1)(x + -1) = -21

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.