X^4+x^3-25x^2-37x+60=0

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Solution for X^4+x^3-25x^2-37x+60=0 equation:


Simplifying
X4 + x3 + -25x2 + -37x + 60 = 0

Reorder the terms:
60 + X4 + -37x + -25x2 + x3 = 0

Solving
60 + X4 + -37x + -25x2 + x3 = 0

Solving for variable 'X'.

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

Add '-60' to each side of the equation.
60 + X4 + -37x + -25x2 + -60 + x3 = 0 + -60

Reorder the terms:
60 + -60 + X4 + -37x + -25x2 + x3 = 0 + -60

Combine like terms: 60 + -60 = 0
0 + X4 + -37x + -25x2 + x3 = 0 + -60
X4 + -37x + -25x2 + x3 = 0 + -60

Combine like terms: 0 + -60 = -60
X4 + -37x + -25x2 + x3 = -60

Add '37x' to each side of the equation.
X4 + -37x + -25x2 + 37x + x3 = -60 + 37x

Reorder the terms:
X4 + -37x + 37x + -25x2 + x3 = -60 + 37x

Combine like terms: -37x + 37x = 0
X4 + 0 + -25x2 + x3 = -60 + 37x
X4 + -25x2 + x3 = -60 + 37x

Add '25x2' to each side of the equation.
X4 + -25x2 + 25x2 + x3 = -60 + 37x + 25x2

Combine like terms: -25x2 + 25x2 = 0
X4 + 0 + x3 = -60 + 37x + 25x2
X4 + x3 = -60 + 37x + 25x2

Add '-1x3' to each side of the equation.
X4 + x3 + -1x3 = -60 + 37x + 25x2 + -1x3

Combine like terms: x3 + -1x3 = 0
X4 + 0 = -60 + 37x + 25x2 + -1x3
X4 = -60 + 37x + 25x2 + -1x3

Simplifying
X4 = -60 + 37x + 25x2 + -1x3

Reorder the terms:
60 + X4 + -37x + -25x2 + x3 = -60 + 37x + 25x2 + -1x3 + 60 + -37x + -25x2 + x3

Reorder the terms:
60 + X4 + -37x + -25x2 + x3 = -60 + 60 + 37x + -37x + 25x2 + -25x2 + -1x3 + x3

Combine like terms: -60 + 60 = 0
60 + X4 + -37x + -25x2 + x3 = 0 + 37x + -37x + 25x2 + -25x2 + -1x3 + x3
60 + X4 + -37x + -25x2 + x3 = 37x + -37x + 25x2 + -25x2 + -1x3 + x3

Combine like terms: 37x + -37x = 0
60 + X4 + -37x + -25x2 + x3 = 0 + 25x2 + -25x2 + -1x3 + x3
60 + X4 + -37x + -25x2 + x3 = 25x2 + -25x2 + -1x3 + x3

Combine like terms: 25x2 + -25x2 = 0
60 + X4 + -37x + -25x2 + x3 = 0 + -1x3 + x3
60 + X4 + -37x + -25x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
60 + X4 + -37x + -25x2 + x3 = 0

The solution to this equation could not be determined.

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