(X-1)(x-4)(x-6)=0

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Solution for (X-1)(x-4)(x-6)=0 equation: 


Simplifying
(X + -1)(x + -4)(x + -6) = 0

Reorder the terms:
(-1 + X)(x + -4)(x + -6) = 0

Reorder the terms:
(-1 + X)(-4 + x)(x + -6) = 0

Reorder the terms:
(-1 + X)(-4 + x)(-6 + x) = 0

Multiply (-1 + X) * (-4 + x)
(-1(-4 + x) + X(-4 + x))(-6 + x) = 0
((-4 * -1 + x * -1) + X(-4 + x))(-6 + x) = 0
((4 + -1x) + X(-4 + x))(-6 + x) = 0
(4 + -1x + (-4 * X + x * X))(-6 + x) = 0
(4 + -1x + (-4X + xX))(-6 + x) = 0

Reorder the terms:
(4 + -4X + -1x + xX)(-6 + x) = 0
(4 + -4X + -1x + xX)(-6 + x) = 0

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

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

Combine like terms: 4x + 6x = 10x
(-24 + 24X + 10x + -4xX + -6xX + -1x2 + x2X) = 0

Combine like terms: -4xX + -6xX = -10xX
(-24 + 24X + 10x + -10xX + -1x2 + x2X) = 0

Solving
-24 + 24X + 10x + -10xX + -1x2 + x2X = 0

Solving for variable 'X'.

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

Add '24' to each side of the equation.
-24 + 24X + 10x + -10xX + -1x2 + 24 + x2X = 0 + 24

Reorder the terms:
-24 + 24 + 24X + 10x + -10xX + -1x2 + x2X = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 24X + 10x + -10xX + -1x2 + x2X = 0 + 24
24X + 10x + -10xX + -1x2 + x2X = 0 + 24

Combine like terms: 0 + 24 = 24
24X + 10x + -10xX + -1x2 + x2X = 24

Add '-10x' to each side of the equation.
24X + 10x + -10xX + -1x2 + -10x + x2X = 24 + -10x

Reorder the terms:
24X + 10x + -10x + -10xX + -1x2 + x2X = 24 + -10x

Combine like terms: 10x + -10x = 0
24X + 0 + -10xX + -1x2 + x2X = 24 + -10x
24X + -10xX + -1x2 + x2X = 24 + -10x

Add 'x2' to each side of the equation.
24X + -10xX + -1x2 + x2 + x2X = 24 + -10x + x2

Combine like terms: -1x2 + x2 = 0
24X + -10xX + 0 + x2X = 24 + -10x + x2
24X + -10xX + x2X = 24 + -10x + x2

Reorder the terms:
-24 + 24X + 10x + -10xX + -1x2 + x2X = 24 + -10x + x2 + -24 + 10x + -1x2

Reorder the terms:
-24 + 24X + 10x + -10xX + -1x2 + x2X = 24 + -24 + -10x + 10x + x2 + -1x2

Combine like terms: 24 + -24 = 0
-24 + 24X + 10x + -10xX + -1x2 + x2X = 0 + -10x + 10x + x2 + -1x2
-24 + 24X + 10x + -10xX + -1x2 + x2X = -10x + 10x + x2 + -1x2

Combine like terms: -10x + 10x = 0
-24 + 24X + 10x + -10xX + -1x2 + x2X = 0 + x2 + -1x2
-24 + 24X + 10x + -10xX + -1x2 + x2X = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-24 + 24X + 10x + -10xX + -1x2 + x2X = 0

The solution to this equation could not be determined.

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