2x-4=x^2

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


Simplifying
2x + -4 = x2

Reorder the terms:
-4 + 2x = x2

Solving
-4 + 2x = x2

Solving for variable 'x'.

Combine like terms: x2 + -1x2 = 0
-4 + 2x + -1x2 = 0

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

Divide each side by '-1'.
4 + -2x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -2x + -4 + x2 = 0 + -4

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

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

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

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 = -4 + 1

Reorder the terms:
1 + -2x + x2 = -4 + 1

Combine like terms: -4 + 1 = -3
1 + -2x + x2 = -3

Factor a perfect square on the left side:
(x + -1)(x + -1) = -3

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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