x(x-1)(x-2)(30-x)(29-x)=211680

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Solution for x(x-1)(x-2)(30-x)(29-x)=211680 equation:


Simplifying
x(x + -1)(x + -2)(30 + -1x)(29 + -1x) = 211680

Reorder the terms:
x(-1 + x)(x + -2)(30 + -1x)(29 + -1x) = 211680

Reorder the terms:
x(-1 + x)(-2 + x)(30 + -1x)(29 + -1x) = 211680

Multiply (-1 + x) * (-2 + x)
x(-1(-2 + x) + x(-2 + x))(30 + -1x)(29 + -1x) = 211680
x((-2 * -1 + x * -1) + x(-2 + x))(30 + -1x)(29 + -1x) = 211680
x((2 + -1x) + x(-2 + x))(30 + -1x)(29 + -1x) = 211680
x(2 + -1x + (-2 * x + x * x))(30 + -1x)(29 + -1x) = 211680
x(2 + -1x + (-2x + x2))(30 + -1x)(29 + -1x) = 211680

Combine like terms: -1x + -2x = -3x
x(2 + -3x + x2)(30 + -1x)(29 + -1x) = 211680

Multiply (2 + -3x + x2) * (30 + -1x)
x(2(30 + -1x) + -3x * (30 + -1x) + x2(30 + -1x))(29 + -1x) = 211680
x((30 * 2 + -1x * 2) + -3x * (30 + -1x) + x2(30 + -1x))(29 + -1x) = 211680
x((60 + -2x) + -3x * (30 + -1x) + x2(30 + -1x))(29 + -1x) = 211680
x(60 + -2x + (30 * -3x + -1x * -3x) + x2(30 + -1x))(29 + -1x) = 211680
x(60 + -2x + (-90x + 3x2) + x2(30 + -1x))(29 + -1x) = 211680
x(60 + -2x + -90x + 3x2 + (30 * x2 + -1x * x2))(29 + -1x) = 211680
x(60 + -2x + -90x + 3x2 + (30x2 + -1x3))(29 + -1x) = 211680

Combine like terms: -2x + -90x = -92x
x(60 + -92x + 3x2 + 30x2 + -1x3)(29 + -1x) = 211680

Combine like terms: 3x2 + 30x2 = 33x2
x(60 + -92x + 33x2 + -1x3)(29 + -1x) = 211680

Multiply (60 + -92x + 33x2 + -1x3) * (29 + -1x)
x(60(29 + -1x) + -92x * (29 + -1x) + 33x2 * (29 + -1x) + -1x3 * (29 + -1x)) = 211680
x((29 * 60 + -1x * 60) + -92x * (29 + -1x) + 33x2 * (29 + -1x) + -1x3 * (29 + -1x)) = 211680
x((1740 + -60x) + -92x * (29 + -1x) + 33x2 * (29 + -1x) + -1x3 * (29 + -1x)) = 211680
x(1740 + -60x + (29 * -92x + -1x * -92x) + 33x2 * (29 + -1x) + -1x3 * (29 + -1x)) = 211680
x(1740 + -60x + (-2668x + 92x2) + 33x2 * (29 + -1x) + -1x3 * (29 + -1x)) = 211680
x(1740 + -60x + -2668x + 92x2 + (29 * 33x2 + -1x * 33x2) + -1x3 * (29 + -1x)) = 211680
x(1740 + -60x + -2668x + 92x2 + (957x2 + -33x3) + -1x3 * (29 + -1x)) = 211680
x(1740 + -60x + -2668x + 92x2 + 957x2 + -33x3 + (29 * -1x3 + -1x * -1x3)) = 211680
x(1740 + -60x + -2668x + 92x2 + 957x2 + -33x3 + (-29x3 + 1x4)) = 211680

Combine like terms: -60x + -2668x = -2728x
x(1740 + -2728x + 92x2 + 957x2 + -33x3 + -29x3 + 1x4) = 211680

Combine like terms: 92x2 + 957x2 = 1049x2
x(1740 + -2728x + 1049x2 + -33x3 + -29x3 + 1x4) = 211680

Combine like terms: -33x3 + -29x3 = -62x3
x(1740 + -2728x + 1049x2 + -62x3 + 1x4) = 211680
(1740 * x + -2728x * x + 1049x2 * x + -62x3 * x + 1x4 * x) = 211680
(1740x + -2728x2 + 1049x3 + -62x4 + 1x5) = 211680

Solving
1740x + -2728x2 + 1049x3 + -62x4 + 1x5 = 211680

Solving for variable 'x'.

Reorder the terms:
-211680 + 1740x + -2728x2 + 1049x3 + -62x4 + 1x5 = 211680 + -211680

Combine like terms: 211680 + -211680 = 0
-211680 + 1740x + -2728x2 + 1049x3 + -62x4 + 1x5 = 0

The solution to this equation could not be determined.

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