2x^2-2x+2=3x-4

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Solution for 2x^2-2x+2=3x-4 equation: 


Simplifying
2x2 + -2x + 2 = 3x + -4

Reorder the terms:
2 + -2x + 2x2 = 3x + -4

Reorder the terms:
2 + -2x + 2x2 = -4 + 3x

Solving
2 + -2x + 2x2 = -4 + 3x

Solving for variable 'x'.

Reorder the terms:
2 + 4 + -2x + -3x + 2x2 = -4 + 3x + 4 + -3x

Combine like terms: 2 + 4 = 6
6 + -2x + -3x + 2x2 = -4 + 3x + 4 + -3x

Combine like terms: -2x + -3x = -5x
6 + -5x + 2x2 = -4 + 3x + 4 + -3x

Reorder the terms:
6 + -5x + 2x2 = -4 + 4 + 3x + -3x

Combine like terms: -4 + 4 = 0
6 + -5x + 2x2 = 0 + 3x + -3x
6 + -5x + 2x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -5x + 2x2 = 0

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

Divide each side by '2'.
3 + -2.5x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2.5x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -2.5x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2.5x + x2 = 0 + -3
-2.5x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2.5x + x2 = -3

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = -3 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -3 + 1.5625

Combine like terms: -3 + 1.5625 = -1.4375
1.5625 + -2.5x + x2 = -1.4375

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = -1.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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