6x+1=4x^2+8-2x

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Solution for 6x+1=4x^2+8-2x equation: 


Simplifying
6x + 1 = 4x2 + 8 + -2x

Reorder the terms:
1 + 6x = 4x2 + 8 + -2x

Reorder the terms:
1 + 6x = 8 + -2x + 4x2

Solving
1 + 6x = 8 + -2x + 4x2

Solving for variable 'x'.

Reorder the terms:
1 + -8 + 6x + 2x + -4x2 = 8 + -2x + 4x2 + -8 + 2x + -4x2

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

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

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

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

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

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

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
1.75 + -2x + x2 = 0

Move the constant term to the right:

Add '-1.75' to each side of the equation.
1.75 + -2x + -1.75 + x2 = 0 + -1.75

Reorder the terms:
1.75 + -1.75 + -2x + x2 = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + -2x + x2 = 0 + -1.75
-2x + x2 = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
-2x + x2 = -1.75

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 = -1.75 + 1

Reorder the terms:
1 + -2x + x2 = -1.75 + 1

Combine like terms: -1.75 + 1 = -0.75
1 + -2x + x2 = -0.75

Factor a perfect square on the left side:
(x + -1)(x + -1) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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