(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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