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

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


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

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

Multiply (-3 + x) * (2 + x)
(-3(2 + x) + x(2 + x)) = 2 + -1x(4 + -1x) + 3
((2 * -3 + x * -3) + x(2 + x)) = 2 + -1x(4 + -1x) + 3
((-6 + -3x) + x(2 + x)) = 2 + -1x(4 + -1x) + 3
(-6 + -3x + (2 * x + x * x)) = 2 + -1x(4 + -1x) + 3
(-6 + -3x + (2x + x2)) = 2 + -1x(4 + -1x) + 3

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

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

Combine like terms: 2 + 3 = 5
-6 + -1x + x2 = 5 + -4x + 1x2

Solving
-6 + -1x + x2 = 5 + -4x + 1x2

Solving for variable 'x'.

Reorder the terms:
-6 + -5 + -1x + 4x + x2 + -1x2 = 5 + -4x + 1x2 + -5 + 4x + -1x2

Combine like terms: -6 + -5 = -11
-11 + -1x + 4x + x2 + -1x2 = 5 + -4x + 1x2 + -5 + 4x + -1x2

Combine like terms: -1x + 4x = 3x
-11 + 3x + x2 + -1x2 = 5 + -4x + 1x2 + -5 + 4x + -1x2

Combine like terms: x2 + -1x2 = 0
-11 + 3x + 0 = 5 + -4x + 1x2 + -5 + 4x + -1x2
-11 + 3x = 5 + -4x + 1x2 + -5 + 4x + -1x2

Reorder the terms:
-11 + 3x = 5 + -5 + -4x + 4x + 1x2 + -1x2

Combine like terms: 5 + -5 = 0
-11 + 3x = 0 + -4x + 4x + 1x2 + -1x2
-11 + 3x = -4x + 4x + 1x2 + -1x2

Combine like terms: -4x + 4x = 0
-11 + 3x = 0 + 1x2 + -1x2
-11 + 3x = 1x2 + -1x2

Combine like terms: 1x2 + -1x2 = 0
-11 + 3x = 0

The solution to this equation could not be determined.

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