(X-2)(x-3)(x-8)=0

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Solution for (X-2)(x-3)(x-8)=0 equation: 


Simplifying
(X + -2)(x + -3)(x + -8) = 0

Reorder the terms:
(-2 + X)(x + -3)(x + -8) = 0

Reorder the terms:
(-2 + X)(-3 + x)(x + -8) = 0

Reorder the terms:
(-2 + X)(-3 + x)(-8 + x) = 0

Multiply (-2 + X) * (-3 + x)
(-2(-3 + x) + X(-3 + x))(-8 + x) = 0
((-3 * -2 + x * -2) + X(-3 + x))(-8 + x) = 0
((6 + -2x) + X(-3 + x))(-8 + x) = 0
(6 + -2x + (-3 * X + x * X))(-8 + x) = 0
(6 + -2x + (-3X + xX))(-8 + x) = 0

Reorder the terms:
(6 + -3X + -2x + xX)(-8 + x) = 0
(6 + -3X + -2x + xX)(-8 + x) = 0

Multiply (6 + -3X + -2x + xX) * (-8 + x)
(6(-8 + x) + -3X * (-8 + x) + -2x * (-8 + x) + xX(-8 + x)) = 0
((-8 * 6 + x * 6) + -3X * (-8 + x) + -2x * (-8 + x) + xX(-8 + x)) = 0
((-48 + 6x) + -3X * (-8 + x) + -2x * (-8 + x) + xX(-8 + x)) = 0
(-48 + 6x + (-8 * -3X + x * -3X) + -2x * (-8 + x) + xX(-8 + x)) = 0
(-48 + 6x + (24X + -3xX) + -2x * (-8 + x) + xX(-8 + x)) = 0
(-48 + 6x + 24X + -3xX + (-8 * -2x + x * -2x) + xX(-8 + x)) = 0
(-48 + 6x + 24X + -3xX + (16x + -2x2) + xX(-8 + x)) = 0
(-48 + 6x + 24X + -3xX + 16x + -2x2 + (-8 * xX + x * xX)) = 0
(-48 + 6x + 24X + -3xX + 16x + -2x2 + (-8xX + x2X)) = 0

Reorder the terms:
(-48 + 24X + 6x + 16x + -3xX + -8xX + -2x2 + x2X) = 0

Combine like terms: 6x + 16x = 22x
(-48 + 24X + 22x + -3xX + -8xX + -2x2 + x2X) = 0

Combine like terms: -3xX + -8xX = -11xX
(-48 + 24X + 22x + -11xX + -2x2 + x2X) = 0

Solving
-48 + 24X + 22x + -11xX + -2x2 + x2X = 0

Solving for variable 'X'.

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

Add '48' to each side of the equation.
-48 + 24X + 22x + -11xX + -2x2 + 48 + x2X = 0 + 48

Reorder the terms:
-48 + 48 + 24X + 22x + -11xX + -2x2 + x2X = 0 + 48

Combine like terms: -48 + 48 = 0
0 + 24X + 22x + -11xX + -2x2 + x2X = 0 + 48
24X + 22x + -11xX + -2x2 + x2X = 0 + 48

Combine like terms: 0 + 48 = 48
24X + 22x + -11xX + -2x2 + x2X = 48

Add '-22x' to each side of the equation.
24X + 22x + -11xX + -2x2 + -22x + x2X = 48 + -22x

Reorder the terms:
24X + 22x + -22x + -11xX + -2x2 + x2X = 48 + -22x

Combine like terms: 22x + -22x = 0
24X + 0 + -11xX + -2x2 + x2X = 48 + -22x
24X + -11xX + -2x2 + x2X = 48 + -22x

Add '2x2' to each side of the equation.
24X + -11xX + -2x2 + 2x2 + x2X = 48 + -22x + 2x2

Combine like terms: -2x2 + 2x2 = 0
24X + -11xX + 0 + x2X = 48 + -22x + 2x2
24X + -11xX + x2X = 48 + -22x + 2x2

Reorder the terms:
-48 + 24X + 22x + -11xX + -2x2 + x2X = 48 + -22x + 2x2 + -48 + 22x + -2x2

Reorder the terms:
-48 + 24X + 22x + -11xX + -2x2 + x2X = 48 + -48 + -22x + 22x + 2x2 + -2x2

Combine like terms: 48 + -48 = 0
-48 + 24X + 22x + -11xX + -2x2 + x2X = 0 + -22x + 22x + 2x2 + -2x2
-48 + 24X + 22x + -11xX + -2x2 + x2X = -22x + 22x + 2x2 + -2x2

Combine like terms: -22x + 22x = 0
-48 + 24X + 22x + -11xX + -2x2 + x2X = 0 + 2x2 + -2x2
-48 + 24X + 22x + -11xX + -2x2 + x2X = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-48 + 24X + 22x + -11xX + -2x2 + x2X = 0

The solution to this equation could not be determined.

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