(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 + x2))(-3 + x)(4 + x) = 40

Combine like terms: 2x + 3x = 5x
(6 + 5x + x2)(-3 + x)(4 + x) = 40

Multiply (6 + 5x + x2) * (-3 + x)
(6(-3 + x) + 5x * (-3 + x) + x2(-3 + x))(4 + x) = 40
((-3 * 6 + x * 6) + 5x * (-3 + x) + x2(-3 + x))(4 + x) = 40
((-18 + 6x) + 5x * (-3 + x) + x2(-3 + x))(4 + x) = 40
(-18 + 6x + (-3 * 5x + x * 5x) + x2(-3 + x))(4 + x) = 40
(-18 + 6x + (-15x + 5x2) + x2(-3 + x))(4 + x) = 40
(-18 + 6x + -15x + 5x2 + (-3 * x2 + x * x2))(4 + x) = 40
(-18 + 6x + -15x + 5x2 + (-3x2 + x3))(4 + x) = 40

Combine like terms: 6x + -15x = -9x
(-18 + -9x + 5x2 + -3x2 + x3)(4 + x) = 40

Combine like terms: 5x2 + -3x2 = 2x2
(-18 + -9x + 2x2 + x3)(4 + x) = 40

Multiply (-18 + -9x + 2x2 + x3) * (4 + x)
(-18(4 + x) + -9x * (4 + x) + 2x2 * (4 + x) + x3(4 + x)) = 40
((4 * -18 + x * -18) + -9x * (4 + x) + 2x2 * (4 + x) + x3(4 + x)) = 40
((-72 + -18x) + -9x * (4 + x) + 2x2 * (4 + x) + x3(4 + x)) = 40
(-72 + -18x + (4 * -9x + x * -9x) + 2x2 * (4 + x) + x3(4 + x)) = 40
(-72 + -18x + (-36x + -9x2) + 2x2 * (4 + x) + x3(4 + x)) = 40
(-72 + -18x + -36x + -9x2 + (4 * 2x2 + x * 2x2) + x3(4 + x)) = 40
(-72 + -18x + -36x + -9x2 + (8x2 + 2x3) + x3(4 + x)) = 40
(-72 + -18x + -36x + -9x2 + 8x2 + 2x3 + (4 * x3 + x * x3)) = 40
(-72 + -18x + -36x + -9x2 + 8x2 + 2x3 + (4x3 + x4)) = 40

Combine like terms: -18x + -36x = -54x
(-72 + -54x + -9x2 + 8x2 + 2x3 + 4x3 + x4) = 40

Combine like terms: -9x2 + 8x2 = -1x2
(-72 + -54x + -1x2 + 2x3 + 4x3 + x4) = 40

Combine like terms: 2x3 + 4x3 = 6x3
(-72 + -54x + -1x2 + 6x3 + x4) = 40

Solving
-72 + -54x + -1x2 + 6x3 + x4 = 40

Solving for variable 'x'.

Reorder the terms:
-72 + -40 + -54x + -1x2 + 6x3 + x4 = 40 + -40

Combine like terms: -72 + -40 = -112
-112 + -54x + -1x2 + 6x3 + x4 = 40 + -40

Combine like terms: 40 + -40 = 0
-112 + -54x + -1x2 + 6x3 + x4 = 0

The solution to this equation could not be determined.

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