2x-1=6x^2-x+3

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Solution for 2x-1=6x^2-x+3 equation: 


Simplifying
2x + -1 = 6x2 + -1x + 3

Reorder the terms:
-1 + 2x = 6x2 + -1x + 3

Reorder the terms:
-1 + 2x = 3 + -1x + 6x2

Solving
-1 + 2x = 3 + -1x + 6x2

Solving for variable 'x'.

Reorder the terms:
-1 + -3 + 2x + x + -6x2 = 3 + -1x + 6x2 + -3 + x + -6x2

Combine like terms: -1 + -3 = -4
-4 + 2x + x + -6x2 = 3 + -1x + 6x2 + -3 + x + -6x2

Combine like terms: 2x + x = 3x
-4 + 3x + -6x2 = 3 + -1x + 6x2 + -3 + x + -6x2

Reorder the terms:
-4 + 3x + -6x2 = 3 + -3 + -1x + x + 6x2 + -6x2

Combine like terms: 3 + -3 = 0
-4 + 3x + -6x2 = 0 + -1x + x + 6x2 + -6x2
-4 + 3x + -6x2 = -1x + x + 6x2 + -6x2

Combine like terms: -1x + x = 0
-4 + 3x + -6x2 = 0 + 6x2 + -6x2
-4 + 3x + -6x2 = 6x2 + -6x2

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

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
0.6666666667 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -0.5x + -0.6666666667 + x2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -0.5x + x2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -0.5x + x2 = 0 + -0.6666666667
-0.5x + x2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-0.5x + x2 = -0.6666666667

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -0.6666666667 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -0.6666666667 + 0.0625

Combine like terms: -0.6666666667 + 0.0625 = -0.6041666667
0.0625 + -0.5x + x2 = -0.6041666667

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -0.6041666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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