2x+1=6x^2+576

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Solution for 2x+1=6x^2+576 equation: 


Simplifying
2x + 1 = 6x2 + 576

Reorder the terms:
1 + 2x = 6x2 + 576

Reorder the terms:
1 + 2x = 576 + 6x2

Solving
1 + 2x = 576 + 6x2

Solving for variable 'x'.

Reorder the terms:
1 + -576 + 2x + -6x2 = 576 + 6x2 + -576 + -6x2

Combine like terms: 1 + -576 = -575
-575 + 2x + -6x2 = 576 + 6x2 + -576 + -6x2

Reorder the terms:
-575 + 2x + -6x2 = 576 + -576 + 6x2 + -6x2

Combine like terms: 576 + -576 = 0
-575 + 2x + -6x2 = 0 + 6x2 + -6x2
-575 + 2x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-575 + 2x + -6x2 = 0

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

Divide each side by '-6'.
95.83333333 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-95.83333333' to each side of the equation.
95.83333333 + -0.3333333333x + -95.83333333 + x2 = 0 + -95.83333333

Reorder the terms:
95.83333333 + -95.83333333 + -0.3333333333x + x2 = 0 + -95.83333333

Combine like terms: 95.83333333 + -95.83333333 = 0.00000000
0.00000000 + -0.3333333333x + x2 = 0 + -95.83333333
-0.3333333333x + x2 = 0 + -95.83333333

Combine like terms: 0 + -95.83333333 = -95.83333333
-0.3333333333x + x2 = -95.83333333

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -95.83333333 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -95.83333333 + 0.02777777779

Combine like terms: -95.83333333 + 0.02777777779 = -95.80555555221
0.02777777779 + -0.3333333333x + x2 = -95.80555555221

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -95.80555555221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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