2x^2-2x+13=6x-2

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Solution for 2x^2-2x+13=6x-2 equation: 


Simplifying
2x2 + -2x + 13 = 6x + -2

Reorder the terms:
13 + -2x + 2x2 = 6x + -2

Reorder the terms:
13 + -2x + 2x2 = -2 + 6x

Solving
13 + -2x + 2x2 = -2 + 6x

Solving for variable 'x'.

Reorder the terms:
13 + 2 + -2x + -6x + 2x2 = -2 + 6x + 2 + -6x

Combine like terms: 13 + 2 = 15
15 + -2x + -6x + 2x2 = -2 + 6x + 2 + -6x

Combine like terms: -2x + -6x = -8x
15 + -8x + 2x2 = -2 + 6x + 2 + -6x

Reorder the terms:
15 + -8x + 2x2 = -2 + 2 + 6x + -6x

Combine like terms: -2 + 2 = 0
15 + -8x + 2x2 = 0 + 6x + -6x
15 + -8x + 2x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
15 + -8x + 2x2 = 0

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

Divide each side by '2'.
7.5 + -4x + x2 = 0

Move the constant term to the right:

Add '-7.5' to each side of the equation.
7.5 + -4x + -7.5 + x2 = 0 + -7.5

Reorder the terms:
7.5 + -7.5 + -4x + x2 = 0 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -4x + x2 = 0 + -7.5
-4x + x2 = 0 + -7.5

Combine like terms: 0 + -7.5 = -7.5
-4x + x2 = -7.5

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -7.5 + 4

Reorder the terms:
4 + -4x + x2 = -7.5 + 4

Combine like terms: -7.5 + 4 = -3.5
4 + -4x + x2 = -3.5

Factor a perfect square on the left side:
(x + -2)(x + -2) = -3.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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