(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 = 1x
(-6 + 1x + x2)(-3 + x)(4 + x) = 40

Multiply (-6 + 1x + x2) * (-3 + x)
(-6(-3 + x) + 1x * (-3 + x) + x2(-3 + x))(4 + x) = 40
((-3 * -6 + x * -6) + 1x * (-3 + x) + x2(-3 + x))(4 + x) = 40
((18 + -6x) + 1x * (-3 + x) + x2(-3 + x))(4 + x) = 40
(18 + -6x + (-3 * 1x + x * 1x) + x2(-3 + x))(4 + x) = 40
(18 + -6x + (-3x + 1x2) + x2(-3 + x))(4 + x) = 40
(18 + -6x + -3x + 1x2 + (-3 * x2 + x * x2))(4 + x) = 40
(18 + -6x + -3x + 1x2 + (-3x2 + x3))(4 + x) = 40

Combine like terms: -6x + -3x = -9x
(18 + -9x + 1x2 + -3x2 + x3)(4 + x) = 40

Combine like terms: 1x2 + -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 = -18x
(72 + -18x + -9x2 + -8x2 + -2x3 + 4x3 + x4) = 40

Combine like terms: -9x2 + -8x2 = -17x2
(72 + -18x + -17x2 + -2x3 + 4x3 + x4) = 40

Combine like terms: -2x3 + 4x3 = 2x3
(72 + -18x + -17x2 + 2x3 + x4) = 40

Solving
72 + -18x + -17x2 + 2x3 + x4 = 40

Solving for variable 'x'.

Reorder the terms:
72 + -40 + -18x + -17x2 + 2x3 + x4 = 40 + -40

Combine like terms: 72 + -40 = 32
32 + -18x + -17x2 + 2x3 + x4 = 40 + -40

Combine like terms: 40 + -40 = 0
32 + -18x + -17x2 + 2x3 + x4 = 0

The solution to this equation could not be determined.

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