0=-2x^2+4x-4

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Solution for 0=-2x^2+4x-4 equation: 


Simplifying
0 = -2x2 + 4x + -4

Reorder the terms:
0 = -4 + 4x + -2x2

Solving
0 = -4 + 4x + -2x2

Solving for variable 'x'.

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

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

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

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

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

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

Ignore the factor 2.

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

Simplifying
2 + -2x + x2 = 0

Solving
2 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

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

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

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

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

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 = -2 + 1

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

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

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

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.

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