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

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


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

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

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

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

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

Multiply (-10 + 5X + -10x + 5xX) * (2 + -1x)
(-10(2 + -1x) + 5X * (2 + -1x) + -10x * (2 + -1x) + 5xX * (2 + -1x)) = 0
((2 * -10 + -1x * -10) + 5X * (2 + -1x) + -10x * (2 + -1x) + 5xX * (2 + -1x)) = 0
((-20 + 10x) + 5X * (2 + -1x) + -10x * (2 + -1x) + 5xX * (2 + -1x)) = 0
(-20 + 10x + (2 * 5X + -1x * 5X) + -10x * (2 + -1x) + 5xX * (2 + -1x)) = 0
(-20 + 10x + (10X + -5xX) + -10x * (2 + -1x) + 5xX * (2 + -1x)) = 0
(-20 + 10x + 10X + -5xX + (2 * -10x + -1x * -10x) + 5xX * (2 + -1x)) = 0
(-20 + 10x + 10X + -5xX + (-20x + 10x2) + 5xX * (2 + -1x)) = 0
(-20 + 10x + 10X + -5xX + -20x + 10x2 + (2 * 5xX + -1x * 5xX)) = 0
(-20 + 10x + 10X + -5xX + -20x + 10x2 + (10xX + -5x2X)) = 0

Reorder the terms:
(-20 + 10X + 10x + -20x + -5xX + 10xX + 10x2 + -5x2X) = 0

Combine like terms: 10x + -20x = -10x
(-20 + 10X + -10x + -5xX + 10xX + 10x2 + -5x2X) = 0

Combine like terms: -5xX + 10xX = 5xX
(-20 + 10X + -10x + 5xX + 10x2 + -5x2X) = 0

Solving
-20 + 10X + -10x + 5xX + 10x2 + -5x2X = 0

Solving for variable 'X'.

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

Add '20' to each side of the equation.
-20 + 10X + -10x + 5xX + 10x2 + 20 + -5x2X = 0 + 20

Reorder the terms:
-20 + 20 + 10X + -10x + 5xX + 10x2 + -5x2X = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 10X + -10x + 5xX + 10x2 + -5x2X = 0 + 20
10X + -10x + 5xX + 10x2 + -5x2X = 0 + 20

Combine like terms: 0 + 20 = 20
10X + -10x + 5xX + 10x2 + -5x2X = 20

Add '10x' to each side of the equation.
10X + -10x + 5xX + 10x2 + 10x + -5x2X = 20 + 10x

Reorder the terms:
10X + -10x + 10x + 5xX + 10x2 + -5x2X = 20 + 10x

Combine like terms: -10x + 10x = 0
10X + 0 + 5xX + 10x2 + -5x2X = 20 + 10x
10X + 5xX + 10x2 + -5x2X = 20 + 10x

Add '-10x2' to each side of the equation.
10X + 5xX + 10x2 + -10x2 + -5x2X = 20 + 10x + -10x2

Combine like terms: 10x2 + -10x2 = 0
10X + 5xX + 0 + -5x2X = 20 + 10x + -10x2
10X + 5xX + -5x2X = 20 + 10x + -10x2

Reorder the terms:
-20 + 10X + -10x + 5xX + 10x2 + -5x2X = 20 + 10x + -10x2 + -20 + -10x + 10x2

Reorder the terms:
-20 + 10X + -10x + 5xX + 10x2 + -5x2X = 20 + -20 + 10x + -10x + -10x2 + 10x2

Combine like terms: 20 + -20 = 0
-20 + 10X + -10x + 5xX + 10x2 + -5x2X = 0 + 10x + -10x + -10x2 + 10x2
-20 + 10X + -10x + 5xX + 10x2 + -5x2X = 10x + -10x + -10x2 + 10x2

Combine like terms: 10x + -10x = 0
-20 + 10X + -10x + 5xX + 10x2 + -5x2X = 0 + -10x2 + 10x2
-20 + 10X + -10x + 5xX + 10x2 + -5x2X = -10x2 + 10x2

Combine like terms: -10x2 + 10x2 = 0
-20 + 10X + -10x + 5xX + 10x2 + -5x2X = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-4 + 2X + -2x + xX + 2x2 + -1x2X) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-4 + 2X + -2x + xX + 2x2 + -1x2X)' equal to zero and attempt to solve:

Simplifying
-4 + 2X + -2x + xX + 2x2 + -1x2X = 0

Solving
-4 + 2X + -2x + xX + 2x2 + -1x2X = 0

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

Add '4' to each side of the equation.
-4 + 2X + -2x + xX + 2x2 + 4 + -1x2X = 0 + 4

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

Combine like terms: -4 + 4 = 0
0 + 2X + -2x + xX + 2x2 + -1x2X = 0 + 4
2X + -2x + xX + 2x2 + -1x2X = 0 + 4

Combine like terms: 0 + 4 = 4
2X + -2x + xX + 2x2 + -1x2X = 4

Add '2x' to each side of the equation.
2X + -2x + xX + 2x2 + 2x + -1x2X = 4 + 2x

Reorder the terms:
2X + -2x + 2x + xX + 2x2 + -1x2X = 4 + 2x

Combine like terms: -2x + 2x = 0
2X + 0 + xX + 2x2 + -1x2X = 4 + 2x
2X + xX + 2x2 + -1x2X = 4 + 2x

Add '-2x2' to each side of the equation.
2X + xX + 2x2 + -2x2 + -1x2X = 4 + 2x + -2x2

Combine like terms: 2x2 + -2x2 = 0
2X + xX + 0 + -1x2X = 4 + 2x + -2x2
2X + xX + -1x2X = 4 + 2x + -2x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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