(X-3)(3x-4)-3x+4=0

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Solution for (X-3)(3x-4)-3x+4=0 equation: 


Simplifying
(X + -3)(3x + -4) + -3x + 4 = 0

Reorder the terms:
(-3 + X)(3x + -4) + -3x + 4 = 0

Reorder the terms:
(-3 + X)(-4 + 3x) + -3x + 4 = 0

Multiply (-3 + X) * (-4 + 3x)
(-3(-4 + 3x) + X(-4 + 3x)) + -3x + 4 = 0
((-4 * -3 + 3x * -3) + X(-4 + 3x)) + -3x + 4 = 0
((12 + -9x) + X(-4 + 3x)) + -3x + 4 = 0
(12 + -9x + (-4 * X + 3x * X)) + -3x + 4 = 0
(12 + -9x + (-4X + 3xX)) + -3x + 4 = 0

Reorder the terms:
(12 + -4X + -9x + 3xX) + -3x + 4 = 0
(12 + -4X + -9x + 3xX) + -3x + 4 = 0

Reorder the terms:
12 + 4 + -4X + -9x + -3x + 3xX = 0

Combine like terms: 12 + 4 = 16
16 + -4X + -9x + -3x + 3xX = 0

Combine like terms: -9x + -3x = -12x
16 + -4X + -12x + 3xX = 0

Solving
16 + -4X + -12x + 3xX = 0

Solving for variable 'X'.

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

Add '-16' to each side of the equation.
16 + -4X + -12x + -16 + 3xX = 0 + -16

Reorder the terms:
16 + -16 + -4X + -12x + 3xX = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -4X + -12x + 3xX = 0 + -16
-4X + -12x + 3xX = 0 + -16

Combine like terms: 0 + -16 = -16
-4X + -12x + 3xX = -16

Add '12x' to each side of the equation.
-4X + -12x + 12x + 3xX = -16 + 12x

Combine like terms: -12x + 12x = 0
-4X + 0 + 3xX = -16 + 12x
-4X + 3xX = -16 + 12x

Reorder the terms:
16 + -4X + -12x + 3xX = -16 + 12x + 16 + -12x

Reorder the terms:
16 + -4X + -12x + 3xX = -16 + 16 + 12x + -12x

Combine like terms: -16 + 16 = 0
16 + -4X + -12x + 3xX = 0 + 12x + -12x
16 + -4X + -12x + 3xX = 12x + -12x

Combine like terms: 12x + -12x = 0
16 + -4X + -12x + 3xX = 0

The solution to this equation could not be determined.

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