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

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


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

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

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

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

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

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

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

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

Combine like terms: -5x + -10x = -15x
(10 + 2X + -15x + -1xX + -2xX + 5x2 + x2X) = 0

Combine like terms: -1xX + -2xX = -3xX
(10 + 2X + -15x + -3xX + 5x2 + x2X) = 0

Solving
10 + 2X + -15x + -3xX + 5x2 + 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 + 2X + -15x + -3xX + 5x2 + -10 + x2X = 0 + -10

Reorder the terms:
10 + -10 + 2X + -15x + -3xX + 5x2 + x2X = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 2X + -15x + -3xX + 5x2 + x2X = 0 + -10
2X + -15x + -3xX + 5x2 + x2X = 0 + -10

Combine like terms: 0 + -10 = -10
2X + -15x + -3xX + 5x2 + x2X = -10

Add '15x' to each side of the equation.
2X + -15x + -3xX + 5x2 + 15x + x2X = -10 + 15x

Reorder the terms:
2X + -15x + 15x + -3xX + 5x2 + x2X = -10 + 15x

Combine like terms: -15x + 15x = 0
2X + 0 + -3xX + 5x2 + x2X = -10 + 15x
2X + -3xX + 5x2 + x2X = -10 + 15x

Add '-5x2' to each side of the equation.
2X + -3xX + 5x2 + -5x2 + x2X = -10 + 15x + -5x2

Combine like terms: 5x2 + -5x2 = 0
2X + -3xX + 0 + x2X = -10 + 15x + -5x2
2X + -3xX + x2X = -10 + 15x + -5x2

Reorder the terms:
10 + 2X + -15x + -3xX + 5x2 + x2X = -10 + 15x + -5x2 + 10 + -15x + 5x2

Reorder the terms:
10 + 2X + -15x + -3xX + 5x2 + x2X = -10 + 10 + 15x + -15x + -5x2 + 5x2

Combine like terms: -10 + 10 = 0
10 + 2X + -15x + -3xX + 5x2 + x2X = 0 + 15x + -15x + -5x2 + 5x2
10 + 2X + -15x + -3xX + 5x2 + x2X = 15x + -15x + -5x2 + 5x2

Combine like terms: 15x + -15x = 0
10 + 2X + -15x + -3xX + 5x2 + x2X = 0 + -5x2 + 5x2
10 + 2X + -15x + -3xX + 5x2 + x2X = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
10 + 2X + -15x + -3xX + 5x2 + x2X = 0

The solution to this equation could not be determined.

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