x(x-1)(x-2)(x-3)=1680

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Solution for x(x-1)(x-2)(x-3)=1680 equation: 


Simplifying
x(x + -1)(x + -2)(x + -3) = 1680

Reorder the terms:
x(-1 + x)(x + -2)(x + -3) = 1680

Reorder the terms:
x(-1 + x)(-2 + x)(x + -3) = 1680

Reorder the terms:
x(-1 + x)(-2 + x)(-3 + x) = 1680

Multiply (-1 + x) * (-2 + x)
x(-1(-2 + x) + x(-2 + x))(-3 + x) = 1680
x((-2 * -1 + x * -1) + x(-2 + x))(-3 + x) = 1680
x((2 + -1x) + x(-2 + x))(-3 + x) = 1680
x(2 + -1x + (-2 * x + x * x))(-3 + x) = 1680
x(2 + -1x + (-2x + x2))(-3 + x) = 1680

Combine like terms: -1x + -2x = -3x
x(2 + -3x + x2)(-3 + x) = 1680

Multiply (2 + -3x + x2) * (-3 + x)
x(2(-3 + x) + -3x * (-3 + x) + x2(-3 + x)) = 1680
x((-3 * 2 + x * 2) + -3x * (-3 + x) + x2(-3 + x)) = 1680
x((-6 + 2x) + -3x * (-3 + x) + x2(-3 + x)) = 1680
x(-6 + 2x + (-3 * -3x + x * -3x) + x2(-3 + x)) = 1680
x(-6 + 2x + (9x + -3x2) + x2(-3 + x)) = 1680
x(-6 + 2x + 9x + -3x2 + (-3 * x2 + x * x2)) = 1680
x(-6 + 2x + 9x + -3x2 + (-3x2 + x3)) = 1680

Combine like terms: 2x + 9x = 11x
x(-6 + 11x + -3x2 + -3x2 + x3) = 1680

Combine like terms: -3x2 + -3x2 = -6x2
x(-6 + 11x + -6x2 + x3) = 1680
(-6 * x + 11x * x + -6x2 * x + x3 * x) = 1680
(-6x + 11x2 + -6x3 + x4) = 1680

Solving
-6x + 11x2 + -6x3 + x4 = 1680

Solving for variable 'x'.

Reorder the terms:
-1680 + -6x + 11x2 + -6x3 + x4 = 1680 + -1680

Combine like terms: 1680 + -1680 = 0
-1680 + -6x + 11x2 + -6x3 + x4 = 0

The solution to this equation could not be determined.

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