4x(3x-1)=-1

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Solution for 4x(3x-1)=-1 equation: 


Simplifying
4x(3x + -1) = -1

Reorder the terms:
4x(-1 + 3x) = -1
(-1 * 4x + 3x * 4x) = -1
(-4x + 12x2) = -1

Solving
-4x + 12x2 = -1

Solving for variable 'x'.

Reorder the terms:
1 + -4x + 12x2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -4x + 12x2 = 0

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

Divide each side by '12'.
0.08333333333 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-0.08333333333' to each side of the equation.
0.08333333333 + -0.3333333333x + -0.08333333333 + x2 = 0 + -0.08333333333

Reorder the terms:
0.08333333333 + -0.08333333333 + -0.3333333333x + x2 = 0 + -0.08333333333

Combine like terms: 0.08333333333 + -0.08333333333 = 0.00000000000
0.00000000000 + -0.3333333333x + x2 = 0 + -0.08333333333
-0.3333333333x + x2 = 0 + -0.08333333333

Combine like terms: 0 + -0.08333333333 = -0.08333333333
-0.3333333333x + x2 = -0.08333333333

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 = -0.08333333333 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -0.08333333333 + 0.02777777779

Combine like terms: -0.08333333333 + 0.02777777779 = -0.05555555554
0.02777777779 + -0.3333333333x + x2 = -0.05555555554

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -0.05555555554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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