2x^2-6x+4=x-4

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Solution for 2x^2-6x+4=x-4 equation: 


Simplifying
2x2 + -6x + 4 = x + -4

Reorder the terms:
4 + -6x + 2x2 = x + -4

Reorder the terms:
4 + -6x + 2x2 = -4 + x

Solving
4 + -6x + 2x2 = -4 + x

Solving for variable 'x'.

Reorder the terms:
4 + 4 + -6x + -1x + 2x2 = -4 + x + 4 + -1x

Combine like terms: 4 + 4 = 8
8 + -6x + -1x + 2x2 = -4 + x + 4 + -1x

Combine like terms: -6x + -1x = -7x
8 + -7x + 2x2 = -4 + x + 4 + -1x

Reorder the terms:
8 + -7x + 2x2 = -4 + 4 + x + -1x

Combine like terms: -4 + 4 = 0
8 + -7x + 2x2 = 0 + x + -1x
8 + -7x + 2x2 = x + -1x

Combine like terms: x + -1x = 0
8 + -7x + 2x2 = 0

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

Divide each side by '2'.
4 + -3.5x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -3.5x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -3.5x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3.5x + x2 = 0 + -4
-3.5x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-3.5x + x2 = -4

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = -4 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -4 + 3.0625

Combine like terms: -4 + 3.0625 = -0.9375
3.0625 + -3.5x + x2 = -0.9375

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -0.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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