x*x+x(6-2x)=(x-1)(2-x)-2

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Solution for x*x+x(6-2x)=(x-1)(2-x)-2 equation: 


Simplifying
x * x + x(6 + -2x) = (x + -1)(2 + -1x) + -2

Multiply x * x
x2 + x(6 + -2x) = (x + -1)(2 + -1x) + -2
x2 + (6 * x + -2x * x) = (x + -1)(2 + -1x) + -2
x2 + (6x + -2x2) = (x + -1)(2 + -1x) + -2

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

Combine like terms: x2 + -2x2 = -1x2
6x + -1x2 = (x + -1)(2 + -1x) + -2

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

Multiply (-1 + x) * (2 + -1x)
6x + -1x2 = (-1(2 + -1x) + x(2 + -1x)) + -2
6x + -1x2 = ((2 * -1 + -1x * -1) + x(2 + -1x)) + -2
6x + -1x2 = ((-2 + 1x) + x(2 + -1x)) + -2
6x + -1x2 = (-2 + 1x + (2 * x + -1x * x)) + -2
6x + -1x2 = (-2 + 1x + (2x + -1x2)) + -2

Combine like terms: 1x + 2x = 3x
6x + -1x2 = (-2 + 3x + -1x2) + -2

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

Combine like terms: -2 + -2 = -4
6x + -1x2 = -4 + 3x + -1x2

Add 'x2' to each side of the equation.
6x + -1x2 + x2 = -4 + 3x + -1x2 + x2

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

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

Solving
6x = -4 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
6x + -3x = -4 + 3x + -3x

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

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

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333

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