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

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


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

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

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

Reorder the terms for easier multiplication:
-1 + 4x = 3x(1 + x)
-1 + 4x = (1 * 3x + x * 3x)
-1 + 4x = (3x + 3x2)

Solving
-1 + 4x = 3x + 3x2

Solving for variable 'x'.

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

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

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

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

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
0.3333333333 + -0.3333333333x + x2 = 0

Move the constant term to the right:

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

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

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.3333333333x + x2 = 0 + -0.3333333333
-0.3333333333x + x2 = 0 + -0.3333333333

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

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 = -0.3333333333 + 0.02777777779

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

Combine like terms: -0.3333333333 + 0.02777777779 = -0.30555555551
0.02777777779 + -0.3333333333x + x2 = -0.30555555551

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -0.30555555551

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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