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

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


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

Reorder the terms:
3x(-2 + x) = x + -1(4 + x)
(-2 * 3x + x * 3x) = x + -1(4 + x)
(-6x + 3x2) = x + -1(4 + x)
-6x + 3x2 = x + (4 * -1 + x * -1)
-6x + 3x2 = x + (-4 + -1x)

Reorder the terms:
-6x + 3x2 = -4 + x + -1x

Combine like terms: x + -1x = 0
-6x + 3x2 = -4 + 0
-6x + 3x2 = -4

Solving
-6x + 3x2 = -4

Solving for variable 'x'.

Reorder the terms:
4 + -6x + 3x2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -6x + 3x2 = 0

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

Divide each side by '3'.
1.333333333 + -2x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -2x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -2x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -2x + x2 = 0 + -1.333333333
-2x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-2x + x2 = -1.333333333

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -1.333333333 + 1

Reorder the terms:
1 + -2x + x2 = -1.333333333 + 1

Combine like terms: -1.333333333 + 1 = -0.333333333
1 + -2x + x2 = -0.333333333

Factor a perfect square on the left side:
(x + -1)(x + -1) = -0.333333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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