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

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


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

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

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

Multiply (-1 + X) * (-1 + x)
(-1(-1 + x) + X(-1 + x)) + (-1x + -3)(-1x + -3) = 4
((-1 * -1 + x * -1) + X(-1 + x)) + (-1x + -3)(-1x + -3) = 4
((1 + -1x) + X(-1 + x)) + (-1x + -3)(-1x + -3) = 4
(1 + -1x + (-1 * X + x * X)) + (-1x + -3)(-1x + -3) = 4
(1 + -1x + (-1X + xX)) + (-1x + -3)(-1x + -3) = 4

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

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

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

Multiply (-3 + -1x) * (-3 + -1x)
1 + -1X + -1x + xX + (-3(-3 + -1x) + -1x * (-3 + -1x)) = 4
1 + -1X + -1x + xX + ((-3 * -3 + -1x * -3) + -1x * (-3 + -1x)) = 4
1 + -1X + -1x + xX + ((9 + 3x) + -1x * (-3 + -1x)) = 4
1 + -1X + -1x + xX + (9 + 3x + (-3 * -1x + -1x * -1x)) = 4
1 + -1X + -1x + xX + (9 + 3x + (3x + 1x2)) = 4

Combine like terms: 3x + 3x = 6x
1 + -1X + -1x + xX + (9 + 6x + 1x2) = 4

Reorder the terms:
1 + 9 + -1X + -1x + 6x + xX + 1x2 = 4

Combine like terms: 1 + 9 = 10
10 + -1X + -1x + 6x + xX + 1x2 = 4

Combine like terms: -1x + 6x = 5x
10 + -1X + 5x + xX + 1x2 = 4

Solving
10 + -1X + 5x + xX + 1x2 = 4

Solving for variable 'X'.

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

Add '-10' to each side of the equation.
10 + -1X + 5x + xX + -10 + 1x2 = 4 + -10

Reorder the terms:
10 + -10 + -1X + 5x + xX + 1x2 = 4 + -10

Combine like terms: 10 + -10 = 0
0 + -1X + 5x + xX + 1x2 = 4 + -10
-1X + 5x + xX + 1x2 = 4 + -10

Combine like terms: 4 + -10 = -6
-1X + 5x + xX + 1x2 = -6

Add '-5x' to each side of the equation.
-1X + 5x + xX + -5x + 1x2 = -6 + -5x

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

Combine like terms: 5x + -5x = 0
-1X + 0 + xX + 1x2 = -6 + -5x
-1X + xX + 1x2 = -6 + -5x

Add '-1x2' to each side of the equation.
-1X + xX + 1x2 + -1x2 = -6 + -5x + -1x2

Combine like terms: 1x2 + -1x2 = 0
-1X + xX + 0 = -6 + -5x + -1x2
-1X + xX = -6 + -5x + -1x2

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

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

Combine like terms: -6 + 6 = 0
6 + -1X + 5x + xX + x2 = 0 + -5x + 5x + -1x2 + x2
6 + -1X + 5x + xX + x2 = -5x + 5x + -1x2 + x2

Combine like terms: -5x + 5x = 0
6 + -1X + 5x + xX + x2 = 0 + -1x2 + x2
6 + -1X + 5x + xX + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
6 + -1X + 5x + xX + x2 = 0

The solution to this equation could not be determined.

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