(X-2)(x-3)(x+3)(x+4)=40

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Solution for (X-2)(x-3)(x+3)(x+4)=40 equation: 


Simplifying
(X + -2)(x + -3)(x + 3)(x + 4) = 40

Reorder the terms:
(-2 + X)(x + -3)(x + 3)(x + 4) = 40

Reorder the terms:
(-2 + X)(-3 + x)(x + 3)(x + 4) = 40

Reorder the terms:
(-2 + X)(-3 + x)(3 + x)(x + 4) = 40

Reorder the terms:
(-2 + X)(-3 + x)(3 + x)(4 + x) = 40

Multiply (-2 + X) * (-3 + x)
(-2(-3 + x) + X(-3 + x))(3 + x)(4 + x) = 40
((-3 * -2 + x * -2) + X(-3 + x))(3 + x)(4 + x) = 40
((6 + -2x) + X(-3 + x))(3 + x)(4 + x) = 40
(6 + -2x + (-3 * X + x * X))(3 + x)(4 + x) = 40
(6 + -2x + (-3X + xX))(3 + x)(4 + x) = 40

Reorder the terms:
(6 + -3X + -2x + xX)(3 + x)(4 + x) = 40
(6 + -3X + -2x + xX)(3 + x)(4 + x) = 40

Multiply (6 + -3X + -2x + xX) * (3 + x)
(6(3 + x) + -3X * (3 + x) + -2x * (3 + x) + xX(3 + x))(4 + x) = 40
((3 * 6 + x * 6) + -3X * (3 + x) + -2x * (3 + x) + xX(3 + x))(4 + x) = 40
((18 + 6x) + -3X * (3 + x) + -2x * (3 + x) + xX(3 + x))(4 + x) = 40
(18 + 6x + (3 * -3X + x * -3X) + -2x * (3 + x) + xX(3 + x))(4 + x) = 40
(18 + 6x + (-9X + -3xX) + -2x * (3 + x) + xX(3 + x))(4 + x) = 40
(18 + 6x + -9X + -3xX + (3 * -2x + x * -2x) + xX(3 + x))(4 + x) = 40
(18 + 6x + -9X + -3xX + (-6x + -2x2) + xX(3 + x))(4 + x) = 40
(18 + 6x + -9X + -3xX + -6x + -2x2 + (3 * xX + x * xX))(4 + x) = 40
(18 + 6x + -9X + -3xX + -6x + -2x2 + (3xX + x2X))(4 + x) = 40

Reorder the terms:
(18 + -9X + 6x + -6x + -3xX + 3xX + -2x2 + x2X)(4 + x) = 40

Combine like terms: 6x + -6x = 0
(18 + -9X + 0 + -3xX + 3xX + -2x2 + x2X)(4 + x) = 40
(18 + -9X + -3xX + 3xX + -2x2 + x2X)(4 + x) = 40

Combine like terms: -3xX + 3xX = 0
(18 + -9X + 0 + -2x2 + x2X)(4 + x) = 40
(18 + -9X + -2x2 + x2X)(4 + x) = 40

Multiply (18 + -9X + -2x2 + x2X) * (4 + x)
(18(4 + x) + -9X * (4 + x) + -2x2 * (4 + x) + x2X(4 + x)) = 40
((4 * 18 + x * 18) + -9X * (4 + x) + -2x2 * (4 + x) + x2X(4 + x)) = 40
((72 + 18x) + -9X * (4 + x) + -2x2 * (4 + x) + x2X(4 + x)) = 40
(72 + 18x + (4 * -9X + x * -9X) + -2x2 * (4 + x) + x2X(4 + x)) = 40
(72 + 18x + (-36X + -9xX) + -2x2 * (4 + x) + x2X(4 + x)) = 40
(72 + 18x + -36X + -9xX + (4 * -2x2 + x * -2x2) + x2X(4 + x)) = 40
(72 + 18x + -36X + -9xX + (-8x2 + -2x3) + x2X(4 + x)) = 40
(72 + 18x + -36X + -9xX + -8x2 + -2x3 + (4 * x2X + x * x2X)) = 40
(72 + 18x + -36X + -9xX + -8x2 + -2x3 + (4x2X + x3X)) = 40

Reorder the terms:
(72 + -36X + 18x + -9xX + -8x2 + 4x2X + -2x3 + x3X) = 40
(72 + -36X + 18x + -9xX + -8x2 + 4x2X + -2x3 + x3X) = 40

Solving
72 + -36X + 18x + -9xX + -8x2 + 4x2X + -2x3 + x3X = 40

Solving for variable 'X'.

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

Add '-72' to each side of the equation.
72 + -36X + 18x + -9xX + -8x2 + 4x2X + -2x3 + -72 + x3X = 40 + -72

Reorder the terms:
72 + -72 + -36X + 18x + -9xX + -8x2 + 4x2X + -2x3 + x3X = 40 + -72

Combine like terms: 72 + -72 = 0
0 + -36X + 18x + -9xX + -8x2 + 4x2X + -2x3 + x3X = 40 + -72
-36X + 18x + -9xX + -8x2 + 4x2X + -2x3 + x3X = 40 + -72

Combine like terms: 40 + -72 = -32
-36X + 18x + -9xX + -8x2 + 4x2X + -2x3 + x3X = -32

Add '-18x' to each side of the equation.
-36X + 18x + -9xX + -8x2 + 4x2X + -2x3 + -18x + x3X = -32 + -18x

Reorder the terms:
-36X + 18x + -18x + -9xX + -8x2 + 4x2X + -2x3 + x3X = -32 + -18x

Combine like terms: 18x + -18x = 0
-36X + 0 + -9xX + -8x2 + 4x2X + -2x3 + x3X = -32 + -18x
-36X + -9xX + -8x2 + 4x2X + -2x3 + x3X = -32 + -18x

Add '8x2' to each side of the equation.
-36X + -9xX + -8x2 + 4x2X + -2x3 + 8x2 + x3X = -32 + -18x + 8x2

Reorder the terms:
-36X + -9xX + -8x2 + 8x2 + 4x2X + -2x3 + x3X = -32 + -18x + 8x2

Combine like terms: -8x2 + 8x2 = 0
-36X + -9xX + 0 + 4x2X + -2x3 + x3X = -32 + -18x + 8x2
-36X + -9xX + 4x2X + -2x3 + x3X = -32 + -18x + 8x2

Add '2x3' to each side of the equation.
-36X + -9xX + 4x2X + -2x3 + 2x3 + x3X = -32 + -18x + 8x2 + 2x3

Combine like terms: -2x3 + 2x3 = 0
-36X + -9xX + 4x2X + 0 + x3X = -32 + -18x + 8x2 + 2x3
-36X + -9xX + 4x2X + x3X = -32 + -18x + 8x2 + 2x3

Reorder the terms:
32 + -36X + 18x + -9xX + -8x2 + 4x2X + -2x3 + x3X = -32 + -18x + 8x2 + 2x3 + 32 + 18x + -8x2 + -2x3

Reorder the terms:
32 + -36X + 18x + -9xX + -8x2 + 4x2X + -2x3 + x3X = -32 + 32 + -18x + 18x + 8x2 + -8x2 + 2x3 + -2x3

Combine like terms: -32 + 32 = 0
32 + -36X + 18x + -9xX + -8x2 + 4x2X + -2x3 + x3X = 0 + -18x + 18x + 8x2 + -8x2 + 2x3 + -2x3
32 + -36X + 18x + -9xX + -8x2 + 4x2X + -2x3 + x3X = -18x + 18x + 8x2 + -8x2 + 2x3 + -2x3

Combine like terms: -18x + 18x = 0
32 + -36X + 18x + -9xX + -8x2 + 4x2X + -2x3 + x3X = 0 + 8x2 + -8x2 + 2x3 + -2x3
32 + -36X + 18x + -9xX + -8x2 + 4x2X + -2x3 + x3X = 8x2 + -8x2 + 2x3 + -2x3

Combine like terms: 8x2 + -8x2 = 0
32 + -36X + 18x + -9xX + -8x2 + 4x2X + -2x3 + x3X = 0 + 2x3 + -2x3
32 + -36X + 18x + -9xX + -8x2 + 4x2X + -2x3 + x3X = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
32 + -36X + 18x + -9xX + -8x2 + 4x2X + -2x3 + x3X = 0

The solution to this equation could not be determined.

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