(X-1)(3x-2)=3(x^2-1)

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


Simplifying
(X + -1)(3x + -2) = 3(x2 + -1)

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

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

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

Reorder the terms:
(2 + -2X + -3x + 3xX) = 3(x2 + -1)
(2 + -2X + -3x + 3xX) = 3(x2 + -1)

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

Solving
2 + -2X + -3x + 3xX = -3 + 3x2

Solving for variable 'X'.

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

Add '-2' to each side of the equation.
2 + -2X + -3x + -2 + 3xX = -3 + -2 + 3x2

Reorder the terms:
2 + -2 + -2X + -3x + 3xX = -3 + -2 + 3x2

Combine like terms: 2 + -2 = 0
0 + -2X + -3x + 3xX = -3 + -2 + 3x2
-2X + -3x + 3xX = -3 + -2 + 3x2

Combine like terms: -3 + -2 = -5
-2X + -3x + 3xX = -5 + 3x2

Add '3x' to each side of the equation.
-2X + -3x + 3x + 3xX = -5 + 3x + 3x2

Combine like terms: -3x + 3x = 0
-2X + 0 + 3xX = -5 + 3x + 3x2
-2X + 3xX = -5 + 3x + 3x2

Reorder the terms:
5 + -2X + -3x + 3xX + -3x2 = -5 + 3x + 3x2 + 5 + -3x + -3x2

Reorder the terms:
5 + -2X + -3x + 3xX + -3x2 = -5 + 5 + 3x + -3x + 3x2 + -3x2

Combine like terms: -5 + 5 = 0
5 + -2X + -3x + 3xX + -3x2 = 0 + 3x + -3x + 3x2 + -3x2
5 + -2X + -3x + 3xX + -3x2 = 3x + -3x + 3x2 + -3x2

Combine like terms: 3x + -3x = 0
5 + -2X + -3x + 3xX + -3x2 = 0 + 3x2 + -3x2
5 + -2X + -3x + 3xX + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
5 + -2X + -3x + 3xX + -3x2 = 0

The solution to this equation could not be determined.

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