X^4-x^3-31x^2+25x^2+150=0

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Solution for X^4-x^3-31x^2+25x^2+150=0 equation: 


Simplifying
X4 + -1x3 + -31x2 + 25x2 + 150 = 0

Reorder the terms:
150 + X4 + -31x2 + 25x2 + -1x3 = 0

Combine like terms: -31x2 + 25x2 = -6x2
150 + X4 + -6x2 + -1x3 = 0

Solving
150 + X4 + -6x2 + -1x3 = 0

Solving for variable 'X'.

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

Add '-150' to each side of the equation.
150 + X4 + -6x2 + -150 + -1x3 = 0 + -150

Reorder the terms:
150 + -150 + X4 + -6x2 + -1x3 = 0 + -150

Combine like terms: 150 + -150 = 0
0 + X4 + -6x2 + -1x3 = 0 + -150
X4 + -6x2 + -1x3 = 0 + -150

Combine like terms: 0 + -150 = -150
X4 + -6x2 + -1x3 = -150

Add '6x2' to each side of the equation.
X4 + -6x2 + 6x2 + -1x3 = -150 + 6x2

Combine like terms: -6x2 + 6x2 = 0
X4 + 0 + -1x3 = -150 + 6x2
X4 + -1x3 = -150 + 6x2

Add 'x3' to each side of the equation.
X4 + -1x3 + x3 = -150 + 6x2 + x3

Combine like terms: -1x3 + x3 = 0
X4 + 0 = -150 + 6x2 + x3
X4 = -150 + 6x2 + x3

Simplifying
X4 = -150 + 6x2 + x3

Reorder the terms:
150 + X4 + -6x2 + -1x3 = -150 + 6x2 + x3 + 150 + -6x2 + -1x3

Reorder the terms:
150 + X4 + -6x2 + -1x3 = -150 + 150 + 6x2 + -6x2 + x3 + -1x3

Combine like terms: -150 + 150 = 0
150 + X4 + -6x2 + -1x3 = 0 + 6x2 + -6x2 + x3 + -1x3
150 + X4 + -6x2 + -1x3 = 6x2 + -6x2 + x3 + -1x3

Combine like terms: 6x2 + -6x2 = 0
150 + X4 + -6x2 + -1x3 = 0 + x3 + -1x3
150 + X4 + -6x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
150 + X4 + -6x2 + -1x3 = 0

The solution to this equation could not be determined.

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