(x-1)(x-2)(x+3)(x+4)=84

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Solution for (x-1)(x-2)(x+3)(x+4)=84 equation: 


Simplifying
(x + -1)(x + -2)(x + 3)(x + 4) = 84

Reorder the terms:
(-1 + x)(x + -2)(x + 3)(x + 4) = 84

Reorder the terms:
(-1 + x)(-2 + x)(x + 3)(x + 4) = 84

Reorder the terms:
(-1 + x)(-2 + x)(3 + x)(x + 4) = 84

Reorder the terms:
(-1 + x)(-2 + x)(3 + x)(4 + x) = 84

Multiply (-1 + x) * (-2 + x)
(-1(-2 + x) + x(-2 + x))(3 + x)(4 + x) = 84
((-2 * -1 + x * -1) + x(-2 + x))(3 + x)(4 + x) = 84
((2 + -1x) + x(-2 + x))(3 + x)(4 + x) = 84
(2 + -1x + (-2 * x + x * x))(3 + x)(4 + x) = 84
(2 + -1x + (-2x + x2))(3 + x)(4 + x) = 84

Combine like terms: -1x + -2x = -3x
(2 + -3x + x2)(3 + x)(4 + x) = 84

Multiply (2 + -3x + x2) * (3 + x)
(2(3 + x) + -3x * (3 + x) + x2(3 + x))(4 + x) = 84
((3 * 2 + x * 2) + -3x * (3 + x) + x2(3 + x))(4 + x) = 84
((6 + 2x) + -3x * (3 + x) + x2(3 + x))(4 + x) = 84
(6 + 2x + (3 * -3x + x * -3x) + x2(3 + x))(4 + x) = 84
(6 + 2x + (-9x + -3x2) + x2(3 + x))(4 + x) = 84
(6 + 2x + -9x + -3x2 + (3 * x2 + x * x2))(4 + x) = 84
(6 + 2x + -9x + -3x2 + (3x2 + x3))(4 + x) = 84

Combine like terms: 2x + -9x = -7x
(6 + -7x + -3x2 + 3x2 + x3)(4 + x) = 84

Combine like terms: -3x2 + 3x2 = 0
(6 + -7x + 0 + x3)(4 + x) = 84
(6 + -7x + x3)(4 + x) = 84

Multiply (6 + -7x + x3) * (4 + x)
(6(4 + x) + -7x * (4 + x) + x3(4 + x)) = 84
((4 * 6 + x * 6) + -7x * (4 + x) + x3(4 + x)) = 84
((24 + 6x) + -7x * (4 + x) + x3(4 + x)) = 84
(24 + 6x + (4 * -7x + x * -7x) + x3(4 + x)) = 84
(24 + 6x + (-28x + -7x2) + x3(4 + x)) = 84
(24 + 6x + -28x + -7x2 + (4 * x3 + x * x3)) = 84
(24 + 6x + -28x + -7x2 + (4x3 + x4)) = 84

Combine like terms: 6x + -28x = -22x
(24 + -22x + -7x2 + 4x3 + x4) = 84

Solving
24 + -22x + -7x2 + 4x3 + x4 = 84

Solving for variable 'x'.

Reorder the terms:
24 + -84 + -22x + -7x2 + 4x3 + x4 = 84 + -84

Combine like terms: 24 + -84 = -60
-60 + -22x + -7x2 + 4x3 + x4 = 84 + -84

Combine like terms: 84 + -84 = 0
-60 + -22x + -7x2 + 4x3 + x4 = 0

The solution to this equation could not be determined.

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