(X+2)(x-1)(x-5)=0

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Solution for (X+2)(x-1)(x-5)=0 equation: 


Simplifying
(X + 2)(x + -1)(x + -5) = 0

Reorder the terms:
(2 + X)(x + -1)(x + -5) = 0

Reorder the terms:
(2 + X)(-1 + x)(x + -5) = 0

Reorder the terms:
(2 + X)(-1 + x)(-5 + x) = 0

Multiply (2 + X) * (-1 + x)
(2(-1 + x) + X(-1 + x))(-5 + x) = 0
((-1 * 2 + x * 2) + X(-1 + x))(-5 + x) = 0
((-2 + 2x) + X(-1 + x))(-5 + x) = 0
(-2 + 2x + (-1 * X + x * X))(-5 + x) = 0
(-2 + 2x + (-1X + xX))(-5 + x) = 0

Reorder the terms:
(-2 + -1X + 2x + xX)(-5 + x) = 0
(-2 + -1X + 2x + xX)(-5 + x) = 0

Multiply (-2 + -1X + 2x + xX) * (-5 + x)
(-2(-5 + x) + -1X * (-5 + x) + 2x * (-5 + x) + xX(-5 + x)) = 0
((-5 * -2 + x * -2) + -1X * (-5 + x) + 2x * (-5 + x) + xX(-5 + x)) = 0
((10 + -2x) + -1X * (-5 + x) + 2x * (-5 + x) + xX(-5 + x)) = 0
(10 + -2x + (-5 * -1X + x * -1X) + 2x * (-5 + x) + xX(-5 + x)) = 0
(10 + -2x + (5X + -1xX) + 2x * (-5 + x) + xX(-5 + x)) = 0
(10 + -2x + 5X + -1xX + (-5 * 2x + x * 2x) + xX(-5 + x)) = 0
(10 + -2x + 5X + -1xX + (-10x + 2x2) + xX(-5 + x)) = 0
(10 + -2x + 5X + -1xX + -10x + 2x2 + (-5 * xX + x * xX)) = 0
(10 + -2x + 5X + -1xX + -10x + 2x2 + (-5xX + x2X)) = 0

Reorder the terms:
(10 + 5X + -2x + -10x + -1xX + -5xX + 2x2 + x2X) = 0

Combine like terms: -2x + -10x = -12x
(10 + 5X + -12x + -1xX + -5xX + 2x2 + x2X) = 0

Combine like terms: -1xX + -5xX = -6xX
(10 + 5X + -12x + -6xX + 2x2 + x2X) = 0

Solving
10 + 5X + -12x + -6xX + 2x2 + x2X = 0

Solving for variable 'X'.

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

Add '-10' to each side of the equation.
10 + 5X + -12x + -6xX + 2x2 + -10 + x2X = 0 + -10

Reorder the terms:
10 + -10 + 5X + -12x + -6xX + 2x2 + x2X = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 5X + -12x + -6xX + 2x2 + x2X = 0 + -10
5X + -12x + -6xX + 2x2 + x2X = 0 + -10

Combine like terms: 0 + -10 = -10
5X + -12x + -6xX + 2x2 + x2X = -10

Add '12x' to each side of the equation.
5X + -12x + -6xX + 2x2 + 12x + x2X = -10 + 12x

Reorder the terms:
5X + -12x + 12x + -6xX + 2x2 + x2X = -10 + 12x

Combine like terms: -12x + 12x = 0
5X + 0 + -6xX + 2x2 + x2X = -10 + 12x
5X + -6xX + 2x2 + x2X = -10 + 12x

Add '-2x2' to each side of the equation.
5X + -6xX + 2x2 + -2x2 + x2X = -10 + 12x + -2x2

Combine like terms: 2x2 + -2x2 = 0
5X + -6xX + 0 + x2X = -10 + 12x + -2x2
5X + -6xX + x2X = -10 + 12x + -2x2

Reorder the terms:
10 + 5X + -12x + -6xX + 2x2 + x2X = -10 + 12x + -2x2 + 10 + -12x + 2x2

Reorder the terms:
10 + 5X + -12x + -6xX + 2x2 + x2X = -10 + 10 + 12x + -12x + -2x2 + 2x2

Combine like terms: -10 + 10 = 0
10 + 5X + -12x + -6xX + 2x2 + x2X = 0 + 12x + -12x + -2x2 + 2x2
10 + 5X + -12x + -6xX + 2x2 + x2X = 12x + -12x + -2x2 + 2x2

Combine like terms: 12x + -12x = 0
10 + 5X + -12x + -6xX + 2x2 + x2X = 0 + -2x2 + 2x2
10 + 5X + -12x + -6xX + 2x2 + x2X = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
10 + 5X + -12x + -6xX + 2x2 + x2X = 0

The solution to this equation could not be determined.

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