(X-3)(x+3)(x-2)(x+2)=0

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Solution for (X-3)(x+3)(x-2)(x+2)=0 equation: 


Simplifying
(X + -3)(x + 3)(x + -2)(x + 2) = 0

Reorder the terms:
(-3 + X)(x + 3)(x + -2)(x + 2) = 0

Reorder the terms:
(-3 + X)(3 + x)(x + -2)(x + 2) = 0

Reorder the terms:
(-3 + X)(3 + x)(-2 + x)(x + 2) = 0

Reorder the terms:
(-3 + X)(3 + x)(-2 + x)(2 + x) = 0

Multiply (-3 + X) * (3 + x)
(-3(3 + x) + X(3 + x))(-2 + x)(2 + x) = 0
((3 * -3 + x * -3) + X(3 + x))(-2 + x)(2 + x) = 0
((-9 + -3x) + X(3 + x))(-2 + x)(2 + x) = 0
(-9 + -3x + (3 * X + x * X))(-2 + x)(2 + x) = 0
(-9 + -3x + (3X + xX))(-2 + x)(2 + x) = 0

Reorder the terms:
(-9 + 3X + -3x + xX)(-2 + x)(2 + x) = 0
(-9 + 3X + -3x + xX)(-2 + x)(2 + x) = 0

Multiply (-9 + 3X + -3x + xX) * (-2 + x)
(-9(-2 + x) + 3X * (-2 + x) + -3x * (-2 + x) + xX(-2 + x))(2 + x) = 0
((-2 * -9 + x * -9) + 3X * (-2 + x) + -3x * (-2 + x) + xX(-2 + x))(2 + x) = 0
((18 + -9x) + 3X * (-2 + x) + -3x * (-2 + x) + xX(-2 + x))(2 + x) = 0
(18 + -9x + (-2 * 3X + x * 3X) + -3x * (-2 + x) + xX(-2 + x))(2 + x) = 0
(18 + -9x + (-6X + 3xX) + -3x * (-2 + x) + xX(-2 + x))(2 + x) = 0
(18 + -9x + -6X + 3xX + (-2 * -3x + x * -3x) + xX(-2 + x))(2 + x) = 0
(18 + -9x + -6X + 3xX + (6x + -3x2) + xX(-2 + x))(2 + x) = 0
(18 + -9x + -6X + 3xX + 6x + -3x2 + (-2 * xX + x * xX))(2 + x) = 0
(18 + -9x + -6X + 3xX + 6x + -3x2 + (-2xX + x2X))(2 + x) = 0

Reorder the terms:
(18 + -6X + -9x + 6x + 3xX + -2xX + -3x2 + x2X)(2 + x) = 0

Combine like terms: -9x + 6x = -3x
(18 + -6X + -3x + 3xX + -2xX + -3x2 + x2X)(2 + x) = 0

Combine like terms: 3xX + -2xX = 1xX
(18 + -6X + -3x + 1xX + -3x2 + x2X)(2 + x) = 0

Multiply (18 + -6X + -3x + 1xX + -3x2 + x2X) * (2 + x)
(18(2 + x) + -6X * (2 + x) + -3x * (2 + x) + 1xX * (2 + x) + -3x2 * (2 + x) + x2X(2 + x)) = 0
((2 * 18 + x * 18) + -6X * (2 + x) + -3x * (2 + x) + 1xX * (2 + x) + -3x2 * (2 + x) + x2X(2 + x)) = 0
((36 + 18x) + -6X * (2 + x) + -3x * (2 + x) + 1xX * (2 + x) + -3x2 * (2 + x) + x2X(2 + x)) = 0
(36 + 18x + (2 * -6X + x * -6X) + -3x * (2 + x) + 1xX * (2 + x) + -3x2 * (2 + x) + x2X(2 + x)) = 0
(36 + 18x + (-12X + -6xX) + -3x * (2 + x) + 1xX * (2 + x) + -3x2 * (2 + x) + x2X(2 + x)) = 0
(36 + 18x + -12X + -6xX + (2 * -3x + x * -3x) + 1xX * (2 + x) + -3x2 * (2 + x) + x2X(2 + x)) = 0
(36 + 18x + -12X + -6xX + (-6x + -3x2) + 1xX * (2 + x) + -3x2 * (2 + x) + x2X(2 + x)) = 0
(36 + 18x + -12X + -6xX + -6x + -3x2 + (2 * 1xX + x * 1xX) + -3x2 * (2 + x) + x2X(2 + x)) = 0
(36 + 18x + -12X + -6xX + -6x + -3x2 + (2xX + 1x2X) + -3x2 * (2 + x) + x2X(2 + x)) = 0
(36 + 18x + -12X + -6xX + -6x + -3x2 + 2xX + 1x2X + (2 * -3x2 + x * -3x2) + x2X(2 + x)) = 0
(36 + 18x + -12X + -6xX + -6x + -3x2 + 2xX + 1x2X + (-6x2 + -3x3) + x2X(2 + x)) = 0
(36 + 18x + -12X + -6xX + -6x + -3x2 + 2xX + 1x2X + -6x2 + -3x3 + (2 * x2X + x * x2X)) = 0
(36 + 18x + -12X + -6xX + -6x + -3x2 + 2xX + 1x2X + -6x2 + -3x3 + (2x2X + x3X)) = 0

Reorder the terms:
(36 + -12X + 18x + -6x + -6xX + 2xX + -3x2 + -6x2 + 1x2X + 2x2X + -3x3 + x3X) = 0

Combine like terms: 18x + -6x = 12x
(36 + -12X + 12x + -6xX + 2xX + -3x2 + -6x2 + 1x2X + 2x2X + -3x3 + x3X) = 0

Combine like terms: -6xX + 2xX = -4xX
(36 + -12X + 12x + -4xX + -3x2 + -6x2 + 1x2X + 2x2X + -3x3 + x3X) = 0

Combine like terms: -3x2 + -6x2 = -9x2
(36 + -12X + 12x + -4xX + -9x2 + 1x2X + 2x2X + -3x3 + x3X) = 0

Combine like terms: 1x2X + 2x2X = 3x2X
(36 + -12X + 12x + -4xX + -9x2 + 3x2X + -3x3 + x3X) = 0

Solving
36 + -12X + 12x + -4xX + -9x2 + 3x2X + -3x3 + x3X = 0

Solving for variable 'X'.

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

Add '-36' to each side of the equation.
36 + -12X + 12x + -4xX + -9x2 + 3x2X + -3x3 + -36 + x3X = 0 + -36

Reorder the terms:
36 + -36 + -12X + 12x + -4xX + -9x2 + 3x2X + -3x3 + x3X = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -12X + 12x + -4xX + -9x2 + 3x2X + -3x3 + x3X = 0 + -36
-12X + 12x + -4xX + -9x2 + 3x2X + -3x3 + x3X = 0 + -36

Combine like terms: 0 + -36 = -36
-12X + 12x + -4xX + -9x2 + 3x2X + -3x3 + x3X = -36

Add '-12x' to each side of the equation.
-12X + 12x + -4xX + -9x2 + 3x2X + -3x3 + -12x + x3X = -36 + -12x

Reorder the terms:
-12X + 12x + -12x + -4xX + -9x2 + 3x2X + -3x3 + x3X = -36 + -12x

Combine like terms: 12x + -12x = 0
-12X + 0 + -4xX + -9x2 + 3x2X + -3x3 + x3X = -36 + -12x
-12X + -4xX + -9x2 + 3x2X + -3x3 + x3X = -36 + -12x

Add '9x2' to each side of the equation.
-12X + -4xX + -9x2 + 3x2X + -3x3 + 9x2 + x3X = -36 + -12x + 9x2

Reorder the terms:
-12X + -4xX + -9x2 + 9x2 + 3x2X + -3x3 + x3X = -36 + -12x + 9x2

Combine like terms: -9x2 + 9x2 = 0
-12X + -4xX + 0 + 3x2X + -3x3 + x3X = -36 + -12x + 9x2
-12X + -4xX + 3x2X + -3x3 + x3X = -36 + -12x + 9x2

Add '3x3' to each side of the equation.
-12X + -4xX + 3x2X + -3x3 + 3x3 + x3X = -36 + -12x + 9x2 + 3x3

Combine like terms: -3x3 + 3x3 = 0
-12X + -4xX + 3x2X + 0 + x3X = -36 + -12x + 9x2 + 3x3
-12X + -4xX + 3x2X + x3X = -36 + -12x + 9x2 + 3x3

Reorder the terms:
36 + -12X + 12x + -4xX + -9x2 + 3x2X + -3x3 + x3X = -36 + -12x + 9x2 + 3x3 + 36 + 12x + -9x2 + -3x3

Reorder the terms:
36 + -12X + 12x + -4xX + -9x2 + 3x2X + -3x3 + x3X = -36 + 36 + -12x + 12x + 9x2 + -9x2 + 3x3 + -3x3

Combine like terms: -36 + 36 = 0
36 + -12X + 12x + -4xX + -9x2 + 3x2X + -3x3 + x3X = 0 + -12x + 12x + 9x2 + -9x2 + 3x3 + -3x3
36 + -12X + 12x + -4xX + -9x2 + 3x2X + -3x3 + x3X = -12x + 12x + 9x2 + -9x2 + 3x3 + -3x3

Combine like terms: -12x + 12x = 0
36 + -12X + 12x + -4xX + -9x2 + 3x2X + -3x3 + x3X = 0 + 9x2 + -9x2 + 3x3 + -3x3
36 + -12X + 12x + -4xX + -9x2 + 3x2X + -3x3 + x3X = 9x2 + -9x2 + 3x3 + -3x3

Combine like terms: 9x2 + -9x2 = 0
36 + -12X + 12x + -4xX + -9x2 + 3x2X + -3x3 + x3X = 0 + 3x3 + -3x3
36 + -12X + 12x + -4xX + -9x2 + 3x2X + -3x3 + x3X = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
36 + -12X + 12x + -4xX + -9x2 + 3x2X + -3x3 + x3X = 0

The solution to this equation could not be determined.

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