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

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


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

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

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

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

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

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

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

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

Combine like terms: -24x + 3x = -21x
(12 + -4X + -21x + 8xX + -1xX + -6x2 + 2x2X) = 0

Combine like terms: 8xX + -1xX = 7xX
(12 + -4X + -21x + 7xX + -6x2 + 2x2X) = 0

Solving
12 + -4X + -21x + 7xX + -6x2 + 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 + -4X + -21x + 7xX + -6x2 + -12 + 2x2X = 0 + -12

Reorder the terms:
12 + -12 + -4X + -21x + 7xX + -6x2 + 2x2X = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -4X + -21x + 7xX + -6x2 + 2x2X = 0 + -12
-4X + -21x + 7xX + -6x2 + 2x2X = 0 + -12

Combine like terms: 0 + -12 = -12
-4X + -21x + 7xX + -6x2 + 2x2X = -12

Add '21x' to each side of the equation.
-4X + -21x + 7xX + -6x2 + 21x + 2x2X = -12 + 21x

Reorder the terms:
-4X + -21x + 21x + 7xX + -6x2 + 2x2X = -12 + 21x

Combine like terms: -21x + 21x = 0
-4X + 0 + 7xX + -6x2 + 2x2X = -12 + 21x
-4X + 7xX + -6x2 + 2x2X = -12 + 21x

Add '6x2' to each side of the equation.
-4X + 7xX + -6x2 + 6x2 + 2x2X = -12 + 21x + 6x2

Combine like terms: -6x2 + 6x2 = 0
-4X + 7xX + 0 + 2x2X = -12 + 21x + 6x2
-4X + 7xX + 2x2X = -12 + 21x + 6x2

Reorder the terms:
12 + -4X + -21x + 7xX + -6x2 + 2x2X = -12 + 21x + 6x2 + 12 + -21x + -6x2

Reorder the terms:
12 + -4X + -21x + 7xX + -6x2 + 2x2X = -12 + 12 + 21x + -21x + 6x2 + -6x2

Combine like terms: -12 + 12 = 0
12 + -4X + -21x + 7xX + -6x2 + 2x2X = 0 + 21x + -21x + 6x2 + -6x2
12 + -4X + -21x + 7xX + -6x2 + 2x2X = 21x + -21x + 6x2 + -6x2

Combine like terms: 21x + -21x = 0
12 + -4X + -21x + 7xX + -6x2 + 2x2X = 0 + 6x2 + -6x2
12 + -4X + -21x + 7xX + -6x2 + 2x2X = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
12 + -4X + -21x + 7xX + -6x2 + 2x2X = 0

The solution to this equation could not be determined.

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