X^4+x^3-27x^2-3x-90=0

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Solution for X^4+x^3-27x^2-3x-90=0 equation: 


Simplifying
X4 + x3 + -27x2 + -3x + -90 = 0

Reorder the terms:
-90 + X4 + -3x + -27x2 + x3 = 0

Solving
-90 + X4 + -3x + -27x2 + x3 = 0

Solving for variable 'X'.

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

Add '90' to each side of the equation.
-90 + X4 + -3x + -27x2 + 90 + x3 = 0 + 90

Reorder the terms:
-90 + 90 + X4 + -3x + -27x2 + x3 = 0 + 90

Combine like terms: -90 + 90 = 0
0 + X4 + -3x + -27x2 + x3 = 0 + 90
X4 + -3x + -27x2 + x3 = 0 + 90

Combine like terms: 0 + 90 = 90
X4 + -3x + -27x2 + x3 = 90

Add '3x' to each side of the equation.
X4 + -3x + -27x2 + 3x + x3 = 90 + 3x

Reorder the terms:
X4 + -3x + 3x + -27x2 + x3 = 90 + 3x

Combine like terms: -3x + 3x = 0
X4 + 0 + -27x2 + x3 = 90 + 3x
X4 + -27x2 + x3 = 90 + 3x

Add '27x2' to each side of the equation.
X4 + -27x2 + 27x2 + x3 = 90 + 3x + 27x2

Combine like terms: -27x2 + 27x2 = 0
X4 + 0 + x3 = 90 + 3x + 27x2
X4 + x3 = 90 + 3x + 27x2

Add '-1x3' to each side of the equation.
X4 + x3 + -1x3 = 90 + 3x + 27x2 + -1x3

Combine like terms: x3 + -1x3 = 0
X4 + 0 = 90 + 3x + 27x2 + -1x3
X4 = 90 + 3x + 27x2 + -1x3

Simplifying
X4 = 90 + 3x + 27x2 + -1x3

Reorder the terms:
-90 + X4 + -3x + -27x2 + x3 = 90 + 3x + 27x2 + -1x3 + -90 + -3x + -27x2 + x3

Reorder the terms:
-90 + X4 + -3x + -27x2 + x3 = 90 + -90 + 3x + -3x + 27x2 + -27x2 + -1x3 + x3

Combine like terms: 90 + -90 = 0
-90 + X4 + -3x + -27x2 + x3 = 0 + 3x + -3x + 27x2 + -27x2 + -1x3 + x3
-90 + X4 + -3x + -27x2 + x3 = 3x + -3x + 27x2 + -27x2 + -1x3 + x3

Combine like terms: 3x + -3x = 0
-90 + X4 + -3x + -27x2 + x3 = 0 + 27x2 + -27x2 + -1x3 + x3
-90 + X4 + -3x + -27x2 + x3 = 27x2 + -27x2 + -1x3 + x3

Combine like terms: 27x2 + -27x2 = 0
-90 + X4 + -3x + -27x2 + x3 = 0 + -1x3 + x3
-90 + X4 + -3x + -27x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-90 + X4 + -3x + -27x2 + x3 = 0

The solution to this equation could not be determined.

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