3x-2=4x(x-1)+2x

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Solution for 3x-2=4x(x-1)+2x equation: 


Simplifying
3x + -2 = 4x(x + -1) + 2x

Reorder the terms:
-2 + 3x = 4x(x + -1) + 2x

Reorder the terms:
-2 + 3x = 4x(-1 + x) + 2x
-2 + 3x = (-1 * 4x + x * 4x) + 2x
-2 + 3x = (-4x + 4x2) + 2x

Reorder the terms:
-2 + 3x = -4x + 2x + 4x2

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

Solving
-2 + 3x = -2x + 4x2

Solving for variable 'x'.

Combine like terms: 3x + 2x = 5x
-2 + 5x + -4x2 = -2x + 4x2 + 2x + -4x2

Reorder the terms:
-2 + 5x + -4x2 = -2x + 2x + 4x2 + -4x2

Combine like terms: -2x + 2x = 0
-2 + 5x + -4x2 = 0 + 4x2 + -4x2
-2 + 5x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-2 + 5x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
0.5 + -1.25x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -1.25x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -1.25x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1.25x + x2 = 0 + -0.5
-1.25x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-1.25x + x2 = -0.5

The x term is -1.25x.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25x + 0.390625 + x2 = -0.5 + 0.390625

Reorder the terms:
0.390625 + -1.25x + x2 = -0.5 + 0.390625

Combine like terms: -0.5 + 0.390625 = -0.109375
0.390625 + -1.25x + x2 = -0.109375

Factor a perfect square on the left side:
(x + -0.625)(x + -0.625) = -0.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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