(X+2)(x+0.5)(x-4)=0

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Solution for (X+2)(x+0.5)(x-4)=0 equation: 


Simplifying
(X + 2)(x + 0.5)(x + -4) = 0

Reorder the terms:
(2 + X)(x + 0.5)(x + -4) = 0

Reorder the terms:
(2 + X)(0.5 + x)(x + -4) = 0

Reorder the terms:
(2 + X)(0.5 + x)(-4 + x) = 0

Multiply (2 + X) * (0.5 + x)
(2(0.5 + x) + X(0.5 + x))(-4 + x) = 0
((0.5 * 2 + x * 2) + X(0.5 + x))(-4 + x) = 0
((1 + 2x) + X(0.5 + x))(-4 + x) = 0
(1 + 2x + (0.5 * X + x * X))(-4 + x) = 0
(1 + 2x + (0.5X + xX))(-4 + x) = 0

Reorder the terms:
(1 + 0.5X + 2x + xX)(-4 + x) = 0
(1 + 0.5X + 2x + xX)(-4 + x) = 0

Multiply (1 + 0.5X + 2x + xX) * (-4 + x)
(1(-4 + x) + 0.5X * (-4 + x) + 2x * (-4 + x) + xX(-4 + x)) = 0
((-4 * 1 + x * 1) + 0.5X * (-4 + x) + 2x * (-4 + x) + xX(-4 + x)) = 0
((-4 + 1x) + 0.5X * (-4 + x) + 2x * (-4 + x) + xX(-4 + x)) = 0
(-4 + 1x + (-4 * 0.5X + x * 0.5X) + 2x * (-4 + x) + xX(-4 + x)) = 0
(-4 + 1x + (-2X + 0.5xX) + 2x * (-4 + x) + xX(-4 + x)) = 0
(-4 + 1x + -2X + 0.5xX + (-4 * 2x + x * 2x) + xX(-4 + x)) = 0
(-4 + 1x + -2X + 0.5xX + (-8x + 2x2) + xX(-4 + x)) = 0
(-4 + 1x + -2X + 0.5xX + -8x + 2x2 + (-4 * xX + x * xX)) = 0
(-4 + 1x + -2X + 0.5xX + -8x + 2x2 + (-4xX + x2X)) = 0

Reorder the terms:
(-4 + -2X + 1x + -8x + 0.5xX + -4xX + 2x2 + x2X) = 0

Combine like terms: 1x + -8x = -7x
(-4 + -2X + -7x + 0.5xX + -4xX + 2x2 + x2X) = 0

Combine like terms: 0.5xX + -4xX = -3.5xX
(-4 + -2X + -7x + -3.5xX + 2x2 + x2X) = 0

Solving
-4 + -2X + -7x + -3.5xX + 2x2 + x2X = 0

Solving for variable 'X'.

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

Add '4' to each side of the equation.
-4 + -2X + -7x + -3.5xX + 2x2 + 4 + x2X = 0 + 4

Reorder the terms:
-4 + 4 + -2X + -7x + -3.5xX + 2x2 + x2X = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -2X + -7x + -3.5xX + 2x2 + x2X = 0 + 4
-2X + -7x + -3.5xX + 2x2 + x2X = 0 + 4

Combine like terms: 0 + 4 = 4
-2X + -7x + -3.5xX + 2x2 + x2X = 4

Add '7x' to each side of the equation.
-2X + -7x + -3.5xX + 2x2 + 7x + x2X = 4 + 7x

Reorder the terms:
-2X + -7x + 7x + -3.5xX + 2x2 + x2X = 4 + 7x

Combine like terms: -7x + 7x = 0
-2X + 0 + -3.5xX + 2x2 + x2X = 4 + 7x
-2X + -3.5xX + 2x2 + x2X = 4 + 7x

Add '-2x2' to each side of the equation.
-2X + -3.5xX + 2x2 + -2x2 + x2X = 4 + 7x + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2X + -3.5xX + 0 + x2X = 4 + 7x + -2x2
-2X + -3.5xX + x2X = 4 + 7x + -2x2

Reorder the terms:
-4 + -2X + -7x + -3.5xX + 2x2 + x2X = 4 + 7x + -2x2 + -4 + -7x + 2x2

Reorder the terms:
-4 + -2X + -7x + -3.5xX + 2x2 + x2X = 4 + -4 + 7x + -7x + -2x2 + 2x2

Combine like terms: 4 + -4 = 0
-4 + -2X + -7x + -3.5xX + 2x2 + x2X = 0 + 7x + -7x + -2x2 + 2x2
-4 + -2X + -7x + -3.5xX + 2x2 + x2X = 7x + -7x + -2x2 + 2x2

Combine like terms: 7x + -7x = 0
-4 + -2X + -7x + -3.5xX + 2x2 + x2X = 0 + -2x2 + 2x2
-4 + -2X + -7x + -3.5xX + 2x2 + x2X = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-4 + -2X + -7x + -3.5xX + 2x2 + x2X = 0

The solution to this equation could not be determined.

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