X^4-68x^3+1557x^2-13770x+37800=0

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Solution for X^4-68x^3+1557x^2-13770x+37800=0 equation:


Simplifying
X4 + -68x3 + 1557x2 + -13770x + 37800 = 0

Reorder the terms:
37800 + X4 + -13770x + 1557x2 + -68x3 = 0

Solving
37800 + X4 + -13770x + 1557x2 + -68x3 = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-37800' to each side of the equation.
37800 + X4 + -13770x + 1557x2 + -37800 + -68x3 = 0 + -37800

Reorder the terms:
37800 + -37800 + X4 + -13770x + 1557x2 + -68x3 = 0 + -37800

Combine like terms: 37800 + -37800 = 0
0 + X4 + -13770x + 1557x2 + -68x3 = 0 + -37800
X4 + -13770x + 1557x2 + -68x3 = 0 + -37800

Combine like terms: 0 + -37800 = -37800
X4 + -13770x + 1557x2 + -68x3 = -37800

Add '13770x' to each side of the equation.
X4 + -13770x + 1557x2 + 13770x + -68x3 = -37800 + 13770x

Reorder the terms:
X4 + -13770x + 13770x + 1557x2 + -68x3 = -37800 + 13770x

Combine like terms: -13770x + 13770x = 0
X4 + 0 + 1557x2 + -68x3 = -37800 + 13770x
X4 + 1557x2 + -68x3 = -37800 + 13770x

Add '-1557x2' to each side of the equation.
X4 + 1557x2 + -1557x2 + -68x3 = -37800 + 13770x + -1557x2

Combine like terms: 1557x2 + -1557x2 = 0
X4 + 0 + -68x3 = -37800 + 13770x + -1557x2
X4 + -68x3 = -37800 + 13770x + -1557x2

Add '68x3' to each side of the equation.
X4 + -68x3 + 68x3 = -37800 + 13770x + -1557x2 + 68x3

Combine like terms: -68x3 + 68x3 = 0
X4 + 0 = -37800 + 13770x + -1557x2 + 68x3
X4 = -37800 + 13770x + -1557x2 + 68x3

Simplifying
X4 = -37800 + 13770x + -1557x2 + 68x3

Reorder the terms:
37800 + X4 + -13770x + 1557x2 + -68x3 = -37800 + 13770x + -1557x2 + 68x3 + 37800 + -13770x + 1557x2 + -68x3

Reorder the terms:
37800 + X4 + -13770x + 1557x2 + -68x3 = -37800 + 37800 + 13770x + -13770x + -1557x2 + 1557x2 + 68x3 + -68x3

Combine like terms: -37800 + 37800 = 0
37800 + X4 + -13770x + 1557x2 + -68x3 = 0 + 13770x + -13770x + -1557x2 + 1557x2 + 68x3 + -68x3
37800 + X4 + -13770x + 1557x2 + -68x3 = 13770x + -13770x + -1557x2 + 1557x2 + 68x3 + -68x3

Combine like terms: 13770x + -13770x = 0
37800 + X4 + -13770x + 1557x2 + -68x3 = 0 + -1557x2 + 1557x2 + 68x3 + -68x3
37800 + X4 + -13770x + 1557x2 + -68x3 = -1557x2 + 1557x2 + 68x3 + -68x3

Combine like terms: -1557x2 + 1557x2 = 0
37800 + X4 + -13770x + 1557x2 + -68x3 = 0 + 68x3 + -68x3
37800 + X4 + -13770x + 1557x2 + -68x3 = 68x3 + -68x3

Combine like terms: 68x3 + -68x3 = 0
37800 + X4 + -13770x + 1557x2 + -68x3 = 0

The solution to this equation could not be determined.

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