3x-2=2x(x-1)+8

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Solution for 3x-2=2x(x-1)+8 equation: 


Simplifying
3x + -2 = 2x(x + -1) + 8

Reorder the terms:
-2 + 3x = 2x(x + -1) + 8

Reorder the terms:
-2 + 3x = 2x(-1 + x) + 8
-2 + 3x = (-1 * 2x + x * 2x) + 8
-2 + 3x = (-2x + 2x2) + 8

Reorder the terms:
-2 + 3x = 8 + -2x + 2x2

Solving
-2 + 3x = 8 + -2x + 2x2

Solving for variable 'x'.

Reorder the terms:
-2 + -8 + 3x + 2x + -2x2 = 8 + -2x + 2x2 + -8 + 2x + -2x2

Combine like terms: -2 + -8 = -10
-10 + 3x + 2x + -2x2 = 8 + -2x + 2x2 + -8 + 2x + -2x2

Combine like terms: 3x + 2x = 5x
-10 + 5x + -2x2 = 8 + -2x + 2x2 + -8 + 2x + -2x2

Reorder the terms:
-10 + 5x + -2x2 = 8 + -8 + -2x + 2x + 2x2 + -2x2

Combine like terms: 8 + -8 = 0
-10 + 5x + -2x2 = 0 + -2x + 2x + 2x2 + -2x2
-10 + 5x + -2x2 = -2x + 2x + 2x2 + -2x2

Combine like terms: -2x + 2x = 0
-10 + 5x + -2x2 = 0 + 2x2 + -2x2
-10 + 5x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-10 + 5x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
5 + -2.5x + x2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -2.5x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + -2.5x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2.5x + x2 = 0 + -5
-2.5x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-2.5x + x2 = -5

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = -5 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -5 + 1.5625

Combine like terms: -5 + 1.5625 = -3.4375
1.5625 + -2.5x + x2 = -3.4375

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = -3.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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