X^4-x^3-27x^2+25x+50=0

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Solution for X^4-x^3-27x^2+25x+50=0 equation: 


Simplifying
X4 + -1x3 + -27x2 + 25x + 50 = 0

Reorder the terms:
50 + X4 + 25x + -27x2 + -1x3 = 0

Solving
50 + X4 + 25x + -27x2 + -1x3 = 0

Solving for variable 'X'.

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

Add '-50' to each side of the equation.
50 + X4 + 25x + -27x2 + -50 + -1x3 = 0 + -50

Reorder the terms:
50 + -50 + X4 + 25x + -27x2 + -1x3 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + X4 + 25x + -27x2 + -1x3 = 0 + -50
X4 + 25x + -27x2 + -1x3 = 0 + -50

Combine like terms: 0 + -50 = -50
X4 + 25x + -27x2 + -1x3 = -50

Add '-25x' to each side of the equation.
X4 + 25x + -27x2 + -25x + -1x3 = -50 + -25x

Reorder the terms:
X4 + 25x + -25x + -27x2 + -1x3 = -50 + -25x

Combine like terms: 25x + -25x = 0
X4 + 0 + -27x2 + -1x3 = -50 + -25x
X4 + -27x2 + -1x3 = -50 + -25x

Add '27x2' to each side of the equation.
X4 + -27x2 + 27x2 + -1x3 = -50 + -25x + 27x2

Combine like terms: -27x2 + 27x2 = 0
X4 + 0 + -1x3 = -50 + -25x + 27x2
X4 + -1x3 = -50 + -25x + 27x2

Add 'x3' to each side of the equation.
X4 + -1x3 + x3 = -50 + -25x + 27x2 + x3

Combine like terms: -1x3 + x3 = 0
X4 + 0 = -50 + -25x + 27x2 + x3
X4 = -50 + -25x + 27x2 + x3

Simplifying
X4 = -50 + -25x + 27x2 + x3

Reorder the terms:
50 + X4 + 25x + -27x2 + -1x3 = -50 + -25x + 27x2 + x3 + 50 + 25x + -27x2 + -1x3

Reorder the terms:
50 + X4 + 25x + -27x2 + -1x3 = -50 + 50 + -25x + 25x + 27x2 + -27x2 + x3 + -1x3

Combine like terms: -50 + 50 = 0
50 + X4 + 25x + -27x2 + -1x3 = 0 + -25x + 25x + 27x2 + -27x2 + x3 + -1x3
50 + X4 + 25x + -27x2 + -1x3 = -25x + 25x + 27x2 + -27x2 + x3 + -1x3

Combine like terms: -25x + 25x = 0
50 + X4 + 25x + -27x2 + -1x3 = 0 + 27x2 + -27x2 + x3 + -1x3
50 + X4 + 25x + -27x2 + -1x3 = 27x2 + -27x2 + x3 + -1x3

Combine like terms: 27x2 + -27x2 = 0
50 + X4 + 25x + -27x2 + -1x3 = 0 + x3 + -1x3
50 + X4 + 25x + -27x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
50 + X4 + 25x + -27x2 + -1x3 = 0

The solution to this equation could not be determined.

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