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

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


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

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

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

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

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

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

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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '3'.
1 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.3333333333x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.3333333333x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.3333333333x + x2 = 0 + -1
-0.3333333333x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.3333333333x + x2 = -1

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 = -1 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -1 + 0.02777777779

Combine like terms: -1 + 0.02777777779 = -0.97222222221
0.02777777779 + -0.3333333333x + x2 = -0.97222222221

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -0.97222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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