x^3+(2a+1)x^2+(a^2+2a-1)x(a^2-1)=

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


Simplifying
x3 + (2a + 1) * x2 + (a2 + 2a + -1) * x(a2 + -1) = 0

Reorder the terms:
x3 + (1 + 2a) * x2 + (a2 + 2a + -1) * x(a2 + -1) = 0

Reorder the terms for easier multiplication:
x3 + x2(1 + 2a) + (a2 + 2a + -1) * x(a2 + -1) = 0
x3 + (1 * x2 + 2a * x2) + (a2 + 2a + -1) * x(a2 + -1) = 0

Reorder the terms:
x3 + (2ax2 + 1x2) + (a2 + 2a + -1) * x(a2 + -1) = 0
x3 + (2ax2 + 1x2) + (a2 + 2a + -1) * x(a2 + -1) = 0

Reorder the terms:
x3 + 2ax2 + 1x2 + (-1 + 2a + a2) * x(a2 + -1) = 0

Reorder the terms:
x3 + 2ax2 + 1x2 + (-1 + 2a + a2) * x(-1 + a2) = 0

Reorder the terms for easier multiplication:
x3 + 2ax2 + 1x2 + x(-1 + 2a + a2)(-1 + a2) = 0

Multiply (-1 + 2a + a2) * (-1 + a2)
x3 + 2ax2 + 1x2 + x(-1(-1 + a2) + 2a * (-1 + a2) + a2(-1 + a2)) = 0
x3 + 2ax2 + 1x2 + x((-1 * -1 + a2 * -1) + 2a * (-1 + a2) + a2(-1 + a2)) = 0
x3 + 2ax2 + 1x2 + x((1 + -1a2) + 2a * (-1 + a2) + a2(-1 + a2)) = 0
x3 + 2ax2 + 1x2 + x(1 + -1a2 + (-1 * 2a + a2 * 2a) + a2(-1 + a2)) = 0
x3 + 2ax2 + 1x2 + x(1 + -1a2 + (-2a + 2a3) + a2(-1 + a2)) = 0
x3 + 2ax2 + 1x2 + x(1 + -1a2 + -2a + 2a3 + (-1 * a2 + a2 * a2)) = 0
x3 + 2ax2 + 1x2 + x(1 + -1a2 + -2a + 2a3 + (-1a2 + a4)) = 0

Reorder the terms:
x3 + 2ax2 + 1x2 + x(1 + -2a + -1a2 + -1a2 + 2a3 + a4) = 0

Combine like terms: -1a2 + -1a2 = -2a2
x3 + 2ax2 + 1x2 + x(1 + -2a + -2a2 + 2a3 + a4) = 0
x3 + 2ax2 + 1x2 + (1 * x + -2a * x + -2a2 * x + 2a3 * x + a4 * x) = 0

Reorder the terms:
x3 + 2ax2 + 1x2 + (-2ax + -2a2x + 2a3x + a4x + 1x) = 0
x3 + 2ax2 + 1x2 + (-2ax + -2a2x + 2a3x + a4x + 1x) = 0

Reorder the terms:
-2ax + 2ax2 + -2a2x + 2a3x + a4x + 1x + 1x2 + x3 = 0

Solving
-2ax + 2ax2 + -2a2x + 2a3x + a4x + 1x + 1x2 + x3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2a + 2ax + -2a2 + 2a3 + a4 + 1 + x + x2) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-2a + 2ax + -2a2 + 2a3 + a4 + 1 + x + x2)' equal to zero and attempt to solve:

Simplifying
-2a + 2ax + -2a2 + 2a3 + a4 + 1 + x + x2 = 0

Reorder the terms:
1 + -2a + 2ax + -2a2 + 2a3 + a4 + x + x2 = 0

Solving
1 + -2a + 2ax + -2a2 + 2a3 + a4 + x + x2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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