(X+3)(x-4)(x-8)=0

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Solution for (X+3)(x-4)(x-8)=0 equation:


Simplifying
(X + 3)(x + -4)(x + -8) = 0

Reorder the terms:
(3 + X)(x + -4)(x + -8) = 0

Reorder the terms:
(3 + X)(-4 + x)(x + -8) = 0

Reorder the terms:
(3 + X)(-4 + x)(-8 + x) = 0

Multiply (3 + X) * (-4 + x)
(3(-4 + x) + X(-4 + x))(-8 + x) = 0
((-4 * 3 + x * 3) + X(-4 + x))(-8 + x) = 0
((-12 + 3x) + X(-4 + x))(-8 + x) = 0
(-12 + 3x + (-4 * X + x * X))(-8 + x) = 0
(-12 + 3x + (-4X + xX))(-8 + x) = 0

Reorder the terms:
(-12 + -4X + 3x + xX)(-8 + x) = 0
(-12 + -4X + 3x + xX)(-8 + x) = 0

Multiply (-12 + -4X + 3x + xX) * (-8 + x)
(-12(-8 + x) + -4X * (-8 + x) + 3x * (-8 + x) + xX(-8 + x)) = 0
((-8 * -12 + x * -12) + -4X * (-8 + x) + 3x * (-8 + x) + xX(-8 + x)) = 0
((96 + -12x) + -4X * (-8 + x) + 3x * (-8 + x) + xX(-8 + x)) = 0
(96 + -12x + (-8 * -4X + x * -4X) + 3x * (-8 + x) + xX(-8 + x)) = 0
(96 + -12x + (32X + -4xX) + 3x * (-8 + x) + xX(-8 + x)) = 0
(96 + -12x + 32X + -4xX + (-8 * 3x + x * 3x) + xX(-8 + x)) = 0
(96 + -12x + 32X + -4xX + (-24x + 3x2) + xX(-8 + x)) = 0
(96 + -12x + 32X + -4xX + -24x + 3x2 + (-8 * xX + x * xX)) = 0
(96 + -12x + 32X + -4xX + -24x + 3x2 + (-8xX + x2X)) = 0

Reorder the terms:
(96 + 32X + -12x + -24x + -4xX + -8xX + 3x2 + x2X) = 0

Combine like terms: -12x + -24x = -36x
(96 + 32X + -36x + -4xX + -8xX + 3x2 + x2X) = 0

Combine like terms: -4xX + -8xX = -12xX
(96 + 32X + -36x + -12xX + 3x2 + x2X) = 0

Solving
96 + 32X + -36x + -12xX + 3x2 + x2X = 0

Solving for variable 'X'.

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

Add '-96' to each side of the equation.
96 + 32X + -36x + -12xX + 3x2 + -96 + x2X = 0 + -96

Reorder the terms:
96 + -96 + 32X + -36x + -12xX + 3x2 + x2X = 0 + -96

Combine like terms: 96 + -96 = 0
0 + 32X + -36x + -12xX + 3x2 + x2X = 0 + -96
32X + -36x + -12xX + 3x2 + x2X = 0 + -96

Combine like terms: 0 + -96 = -96
32X + -36x + -12xX + 3x2 + x2X = -96

Add '36x' to each side of the equation.
32X + -36x + -12xX + 3x2 + 36x + x2X = -96 + 36x

Reorder the terms:
32X + -36x + 36x + -12xX + 3x2 + x2X = -96 + 36x

Combine like terms: -36x + 36x = 0
32X + 0 + -12xX + 3x2 + x2X = -96 + 36x
32X + -12xX + 3x2 + x2X = -96 + 36x

Add '-3x2' to each side of the equation.
32X + -12xX + 3x2 + -3x2 + x2X = -96 + 36x + -3x2

Combine like terms: 3x2 + -3x2 = 0
32X + -12xX + 0 + x2X = -96 + 36x + -3x2
32X + -12xX + x2X = -96 + 36x + -3x2

Reorder the terms:
96 + 32X + -36x + -12xX + 3x2 + x2X = -96 + 36x + -3x2 + 96 + -36x + 3x2

Reorder the terms:
96 + 32X + -36x + -12xX + 3x2 + x2X = -96 + 96 + 36x + -36x + -3x2 + 3x2

Combine like terms: -96 + 96 = 0
96 + 32X + -36x + -12xX + 3x2 + x2X = 0 + 36x + -36x + -3x2 + 3x2
96 + 32X + -36x + -12xX + 3x2 + x2X = 36x + -36x + -3x2 + 3x2

Combine like terms: 36x + -36x = 0
96 + 32X + -36x + -12xX + 3x2 + x2X = 0 + -3x2 + 3x2
96 + 32X + -36x + -12xX + 3x2 + x2X = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
96 + 32X + -36x + -12xX + 3x2 + x2X = 0

The solution to this equation could not be determined.

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