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

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


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

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

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

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

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

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

Multiply (3 + 4x + x2) * (-2 + x)
x(3(-2 + x) + 4x * (-2 + x) + x2(-2 + x)) = 84
x((-2 * 3 + x * 3) + 4x * (-2 + x) + x2(-2 + x)) = 84
x((-6 + 3x) + 4x * (-2 + x) + x2(-2 + x)) = 84
x(-6 + 3x + (-2 * 4x + x * 4x) + x2(-2 + x)) = 84
x(-6 + 3x + (-8x + 4x2) + x2(-2 + x)) = 84
x(-6 + 3x + -8x + 4x2 + (-2 * x2 + x * x2)) = 84
x(-6 + 3x + -8x + 4x2 + (-2x2 + x3)) = 84

Combine like terms: 3x + -8x = -5x
x(-6 + -5x + 4x2 + -2x2 + x3) = 84

Combine like terms: 4x2 + -2x2 = 2x2
x(-6 + -5x + 2x2 + x3) = 84
(-6 * x + -5x * x + 2x2 * x + x3 * x) = 84
(-6x + -5x2 + 2x3 + x4) = 84

Solving
-6x + -5x2 + 2x3 + x4 = 84

Solving for variable 'x'.

Reorder the terms:
-84 + -6x + -5x2 + 2x3 + x4 = 84 + -84

Combine like terms: 84 + -84 = 0
-84 + -6x + -5x2 + 2x3 + x4 = 0

The solution to this equation could not be determined.

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