X^4-7x^3+3x^2+31x+20=0

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Solution for X^4-7x^3+3x^2+31x+20=0 equation:


Simplifying
X4 + -7x3 + 3x2 + 31x + 20 = 0

Reorder the terms:
20 + X4 + 31x + 3x2 + -7x3 = 0

Solving
20 + X4 + 31x + 3x2 + -7x3 = 0

Solving for variable 'X'.

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

Add '-20' to each side of the equation.
20 + X4 + 31x + 3x2 + -20 + -7x3 = 0 + -20

Reorder the terms:
20 + -20 + X4 + 31x + 3x2 + -7x3 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + X4 + 31x + 3x2 + -7x3 = 0 + -20
X4 + 31x + 3x2 + -7x3 = 0 + -20

Combine like terms: 0 + -20 = -20
X4 + 31x + 3x2 + -7x3 = -20

Add '-31x' to each side of the equation.
X4 + 31x + 3x2 + -31x + -7x3 = -20 + -31x

Reorder the terms:
X4 + 31x + -31x + 3x2 + -7x3 = -20 + -31x

Combine like terms: 31x + -31x = 0
X4 + 0 + 3x2 + -7x3 = -20 + -31x
X4 + 3x2 + -7x3 = -20 + -31x

Add '-3x2' to each side of the equation.
X4 + 3x2 + -3x2 + -7x3 = -20 + -31x + -3x2

Combine like terms: 3x2 + -3x2 = 0
X4 + 0 + -7x3 = -20 + -31x + -3x2
X4 + -7x3 = -20 + -31x + -3x2

Add '7x3' to each side of the equation.
X4 + -7x3 + 7x3 = -20 + -31x + -3x2 + 7x3

Combine like terms: -7x3 + 7x3 = 0
X4 + 0 = -20 + -31x + -3x2 + 7x3
X4 = -20 + -31x + -3x2 + 7x3

Simplifying
X4 = -20 + -31x + -3x2 + 7x3

Reorder the terms:
20 + X4 + 31x + 3x2 + -7x3 = -20 + -31x + -3x2 + 7x3 + 20 + 31x + 3x2 + -7x3

Reorder the terms:
20 + X4 + 31x + 3x2 + -7x3 = -20 + 20 + -31x + 31x + -3x2 + 3x2 + 7x3 + -7x3

Combine like terms: -20 + 20 = 0
20 + X4 + 31x + 3x2 + -7x3 = 0 + -31x + 31x + -3x2 + 3x2 + 7x3 + -7x3
20 + X4 + 31x + 3x2 + -7x3 = -31x + 31x + -3x2 + 3x2 + 7x3 + -7x3

Combine like terms: -31x + 31x = 0
20 + X4 + 31x + 3x2 + -7x3 = 0 + -3x2 + 3x2 + 7x3 + -7x3
20 + X4 + 31x + 3x2 + -7x3 = -3x2 + 3x2 + 7x3 + -7x3

Combine like terms: -3x2 + 3x2 = 0
20 + X4 + 31x + 3x2 + -7x3 = 0 + 7x3 + -7x3
20 + X4 + 31x + 3x2 + -7x3 = 7x3 + -7x3

Combine like terms: 7x3 + -7x3 = 0
20 + X4 + 31x + 3x2 + -7x3 = 0

The solution to this equation could not be determined.

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