(X+4)(3-x)(2x-1)=0

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Solution for (X+4)(3-x)(2x-1)=0 equation: 


Simplifying
(X + 4)(3 + -1x)(2x + -1) = 0

Reorder the terms:
(4 + X)(3 + -1x)(2x + -1) = 0

Reorder the terms:
(4 + X)(3 + -1x)(-1 + 2x) = 0

Multiply (4 + X) * (3 + -1x)
(4(3 + -1x) + X(3 + -1x))(-1 + 2x) = 0
((3 * 4 + -1x * 4) + X(3 + -1x))(-1 + 2x) = 0
((12 + -4x) + X(3 + -1x))(-1 + 2x) = 0
(12 + -4x + (3 * X + -1x * X))(-1 + 2x) = 0
(12 + -4x + (3X + -1xX))(-1 + 2x) = 0

Reorder the terms:
(12 + 3X + -4x + -1xX)(-1 + 2x) = 0
(12 + 3X + -4x + -1xX)(-1 + 2x) = 0

Multiply (12 + 3X + -4x + -1xX) * (-1 + 2x)
(12(-1 + 2x) + 3X * (-1 + 2x) + -4x * (-1 + 2x) + -1xX * (-1 + 2x)) = 0
((-1 * 12 + 2x * 12) + 3X * (-1 + 2x) + -4x * (-1 + 2x) + -1xX * (-1 + 2x)) = 0
((-12 + 24x) + 3X * (-1 + 2x) + -4x * (-1 + 2x) + -1xX * (-1 + 2x)) = 0
(-12 + 24x + (-1 * 3X + 2x * 3X) + -4x * (-1 + 2x) + -1xX * (-1 + 2x)) = 0
(-12 + 24x + (-3X + 6xX) + -4x * (-1 + 2x) + -1xX * (-1 + 2x)) = 0
(-12 + 24x + -3X + 6xX + (-1 * -4x + 2x * -4x) + -1xX * (-1 + 2x)) = 0
(-12 + 24x + -3X + 6xX + (4x + -8x2) + -1xX * (-1 + 2x)) = 0
(-12 + 24x + -3X + 6xX + 4x + -8x2 + (-1 * -1xX + 2x * -1xX)) = 0
(-12 + 24x + -3X + 6xX + 4x + -8x2 + (1xX + -2x2X)) = 0

Reorder the terms:
(-12 + -3X + 24x + 4x + 6xX + 1xX + -8x2 + -2x2X) = 0

Combine like terms: 24x + 4x = 28x
(-12 + -3X + 28x + 6xX + 1xX + -8x2 + -2x2X) = 0

Combine like terms: 6xX + 1xX = 7xX
(-12 + -3X + 28x + 7xX + -8x2 + -2x2X) = 0

Solving
-12 + -3X + 28x + 7xX + -8x2 + -2x2X = 0

Solving for variable 'X'.

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

Add '12' to each side of the equation.
-12 + -3X + 28x + 7xX + -8x2 + 12 + -2x2X = 0 + 12

Reorder the terms:
-12 + 12 + -3X + 28x + 7xX + -8x2 + -2x2X = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -3X + 28x + 7xX + -8x2 + -2x2X = 0 + 12
-3X + 28x + 7xX + -8x2 + -2x2X = 0 + 12

Combine like terms: 0 + 12 = 12
-3X + 28x + 7xX + -8x2 + -2x2X = 12

Add '-28x' to each side of the equation.
-3X + 28x + 7xX + -8x2 + -28x + -2x2X = 12 + -28x

Reorder the terms:
-3X + 28x + -28x + 7xX + -8x2 + -2x2X = 12 + -28x

Combine like terms: 28x + -28x = 0
-3X + 0 + 7xX + -8x2 + -2x2X = 12 + -28x
-3X + 7xX + -8x2 + -2x2X = 12 + -28x

Add '8x2' to each side of the equation.
-3X + 7xX + -8x2 + 8x2 + -2x2X = 12 + -28x + 8x2

Combine like terms: -8x2 + 8x2 = 0
-3X + 7xX + 0 + -2x2X = 12 + -28x + 8x2
-3X + 7xX + -2x2X = 12 + -28x + 8x2

Reorder the terms:
-12 + -3X + 28x + 7xX + -8x2 + -2x2X = 12 + -28x + 8x2 + -12 + 28x + -8x2

Reorder the terms:
-12 + -3X + 28x + 7xX + -8x2 + -2x2X = 12 + -12 + -28x + 28x + 8x2 + -8x2

Combine like terms: 12 + -12 = 0
-12 + -3X + 28x + 7xX + -8x2 + -2x2X = 0 + -28x + 28x + 8x2 + -8x2
-12 + -3X + 28x + 7xX + -8x2 + -2x2X = -28x + 28x + 8x2 + -8x2

Combine like terms: -28x + 28x = 0
-12 + -3X + 28x + 7xX + -8x2 + -2x2X = 0 + 8x2 + -8x2
-12 + -3X + 28x + 7xX + -8x2 + -2x2X = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-12 + -3X + 28x + 7xX + -8x2 + -2x2X = 0

The solution to this equation could not be determined.

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