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

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


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

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

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

Multiply (-4 + X) * (1 + x)
(-4(1 + x) + X(1 + x)) = (x + -3)(x + -2)
((1 * -4 + x * -4) + X(1 + x)) = (x + -3)(x + -2)
((-4 + -4x) + X(1 + x)) = (x + -3)(x + -2)
(-4 + -4x + (1 * X + x * X)) = (x + -3)(x + -2)
(-4 + -4x + (1X + xX)) = (x + -3)(x + -2)

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

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

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

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

Combine like terms: -3x + -2x = -5x
-4 + 1X + -4x + xX = (6 + -5x + x2)

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

Solving for variable 'X'.

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

Add '4' to each side of the equation.
-4 + 1X + -4x + 4 + xX = 6 + -5x + 4 + x2

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

Combine like terms: -4 + 4 = 0
0 + 1X + -4x + xX = 6 + -5x + 4 + x2
1X + -4x + xX = 6 + -5x + 4 + x2

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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