X^3+px^2+px+1=0

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Solution for X^3+px^2+px+1=0 equation:


Simplifying
X3 + px2 + px + 1 = 0

Reorder the terms:
1 + X3 + px + px2 = 0

Solving
1 + X3 + px + px2 = 0

Solving for variable 'X'.

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

Add '-1' to each side of the equation.
1 + X3 + px + -1 + px2 = 0 + -1

Reorder the terms:
1 + -1 + X3 + px + px2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + X3 + px + px2 = 0 + -1
X3 + px + px2 = 0 + -1

Combine like terms: 0 + -1 = -1
X3 + px + px2 = -1

Add '-1px' to each side of the equation.
X3 + px + -1px + px2 = -1 + -1px

Combine like terms: px + -1px = 0
X3 + 0 + px2 = -1 + -1px
X3 + px2 = -1 + -1px

Add '-1px2' to each side of the equation.
X3 + px2 + -1px2 = -1 + -1px + -1px2

Combine like terms: px2 + -1px2 = 0
X3 + 0 = -1 + -1px + -1px2
X3 = -1 + -1px + -1px2

Simplifying
X3 = -1 + -1px + -1px2

Reorder the terms:
1 + X3 + px + px2 = -1 + -1px + -1px2 + 1 + px + px2

Reorder the terms:
1 + X3 + px + px2 = -1 + 1 + -1px + px + -1px2 + px2

Combine like terms: -1 + 1 = 0
1 + X3 + px + px2 = 0 + -1px + px + -1px2 + px2
1 + X3 + px + px2 = -1px + px + -1px2 + px2

Combine like terms: -1px + px = 0
1 + X3 + px + px2 = 0 + -1px2 + px2
1 + X3 + px + px2 = -1px2 + px2

Combine like terms: -1px2 + px2 = 0
1 + X3 + px + px2 = 0

The solution to this equation could not be determined.

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