y^3+4y^2+5y+2=y^4+y^3-y^2-y

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Solution for y^3+4y^2+5y+2=y^4+y^3-y^2-y equation:


Simplifying
y3 + 4y2 + 5y + 2 = y4 + y3 + -1y2 + -1y

Reorder the terms:
2 + 5y + 4y2 + y3 = y4 + y3 + -1y2 + -1y

Reorder the terms:
2 + 5y + 4y2 + y3 = -1y + -1y2 + y3 + y4

Add '-1y3' to each side of the equation.
2 + 5y + 4y2 + y3 + -1y3 = -1y + -1y2 + y3 + -1y3 + y4

Combine like terms: y3 + -1y3 = 0
2 + 5y + 4y2 + 0 = -1y + -1y2 + y3 + -1y3 + y4
2 + 5y + 4y2 = -1y + -1y2 + y3 + -1y3 + y4

Combine like terms: y3 + -1y3 = 0
2 + 5y + 4y2 = -1y + -1y2 + 0 + y4
2 + 5y + 4y2 = -1y + -1y2 + y4

Solving
2 + 5y + 4y2 = -1y + -1y2 + y4

Solving for variable 'y'.

Reorder the terms:
2 + 5y + y + 4y2 + y2 + -1y4 = -1y + -1y2 + y4 + y + y2 + -1y4

Combine like terms: 5y + y = 6y
2 + 6y + 4y2 + y2 + -1y4 = -1y + -1y2 + y4 + y + y2 + -1y4

Combine like terms: 4y2 + y2 = 5y2
2 + 6y + 5y2 + -1y4 = -1y + -1y2 + y4 + y + y2 + -1y4

Reorder the terms:
2 + 6y + 5y2 + -1y4 = -1y + y + -1y2 + y2 + y4 + -1y4

Combine like terms: -1y + y = 0
2 + 6y + 5y2 + -1y4 = 0 + -1y2 + y2 + y4 + -1y4
2 + 6y + 5y2 + -1y4 = -1y2 + y2 + y4 + -1y4

Combine like terms: -1y2 + y2 = 0
2 + 6y + 5y2 + -1y4 = 0 + y4 + -1y4
2 + 6y + 5y2 + -1y4 = y4 + -1y4

Combine like terms: y4 + -1y4 = 0
2 + 6y + 5y2 + -1y4 = 0

The solution to this equation could not be determined.

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