2x(1+3x)+1-3x=0factor

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Solution for 2x(1+3x)+1-3x=0factor equation: 


Simplifying
2x(1 + 3x) + 1 + -3x = 0factor
(1 * 2x + 3x * 2x) + 1 + -3x = 0factor
(2x + 6x2) + 1 + -3x = 0factor

Reorder the terms:
1 + 2x + -3x + 6x2 = 0factor

Combine like terms: 2x + -3x = -1x
1 + -1x + 6x2 = 0factor

Anything times zero is zero.
1 + -1x + 6x2 = 0acfort

Solving
1 + -1x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
0.1666666667 + -0.1666666667x + x2 = 0

Move the constant term to the right:

Add '-0.1666666667' to each side of the equation.
0.1666666667 + -0.1666666667x + -0.1666666667 + x2 = 0 + -0.1666666667

Reorder the terms:
0.1666666667 + -0.1666666667 + -0.1666666667x + x2 = 0 + -0.1666666667

Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000
0.0000000000 + -0.1666666667x + x2 = 0 + -0.1666666667
-0.1666666667x + x2 = 0 + -0.1666666667

Combine like terms: 0 + -0.1666666667 = -0.1666666667
-0.1666666667x + x2 = -0.1666666667

The x term is -0.1666666667x.  Take half its coefficient (-0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
-0.1666666667x + 0.006944444447 + x2 = -0.1666666667 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667x + x2 = -0.1666666667 + 0.006944444447

Combine like terms: -0.1666666667 + 0.006944444447 = -0.159722222253
0.006944444447 + -0.1666666667x + x2 = -0.159722222253

Factor a perfect square on the left side:
(x + -0.08333333335)(x + -0.08333333335) = -0.159722222253

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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