ax^3+(a+1)x^2+ax+a+1=0

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Solution for ax^3+(a+1)x^2+ax+a+1=0 equation:


Simplifying
ax3 + (a + 1) * x2 + ax + a + 1 = 0

Reorder the terms:
ax3 + (1 + a) * x2 + ax + a + 1 = 0

Reorder the terms for easier multiplication:
ax3 + x2(1 + a) + ax + a + 1 = 0
ax3 + (1 * x2 + a * x2) + ax + a + 1 = 0

Reorder the terms:
ax3 + (ax2 + 1x2) + ax + a + 1 = 0
ax3 + (ax2 + 1x2) + ax + a + 1 = 0

Reorder the terms:
1 + a + ax + ax2 + ax3 + 1x2 = 0

Solving
1 + a + ax + ax2 + ax3 + 1x2 = 0

Solving for variable 'a'.

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

Add '-1' to each side of the equation.
1 + a + ax + ax2 + ax3 + -1 + 1x2 = 0 + -1

Reorder the terms:
1 + -1 + a + ax + ax2 + ax3 + 1x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + a + ax + ax2 + ax3 + 1x2 = 0 + -1
a + ax + ax2 + ax3 + 1x2 = 0 + -1

Combine like terms: 0 + -1 = -1
a + ax + ax2 + ax3 + 1x2 = -1

Add '-1x2' to each side of the equation.
a + ax + ax2 + ax3 + 1x2 + -1x2 = -1 + -1x2

Combine like terms: 1x2 + -1x2 = 0
a + ax + ax2 + ax3 + 0 = -1 + -1x2
a + ax + ax2 + ax3 = -1 + -1x2

Reorder the terms:
1 + a + ax + ax2 + ax3 + x2 = -1 + -1x2 + 1 + x2

Reorder the terms:
1 + a + ax + ax2 + ax3 + x2 = -1 + 1 + -1x2 + x2

Combine like terms: -1 + 1 = 0
1 + a + ax + ax2 + ax3 + x2 = 0 + -1x2 + x2
1 + a + ax + ax2 + ax3 + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
1 + a + ax + ax2 + ax3 + x2 = 0

The solution to this equation could not be determined.

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