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

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

Solving
10 + -2X + 5x + -1xX + -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 + 5x + -1xX + -5x2 + -10 + x2X = 0 + -10

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

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

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

Add '-5x' to each side of the equation.
-2X + 5x + -1xX + -5x2 + -5x + x2X = -10 + -5x

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

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

Add '5x2' to each side of the equation.
-2X + -1xX + -5x2 + 5x2 + x2X = -10 + -5x + 5x2

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

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

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

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

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

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

The solution to this equation could not be determined.

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