a=(k^3+3k^2-k)(k^3+3k^2+k)

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


Simplifying
a = (k3 + 3k2 + -1k)(k3 + 3k2 + k)

Reorder the terms:
a = (-1k + 3k2 + k3)(k3 + 3k2 + k)

Reorder the terms:
a = (-1k + 3k2 + k3)(k + 3k2 + k3)

Multiply (-1k + 3k2 + k3) * (k + 3k2 + k3)
a = (-1k * (k + 3k2 + k3) + 3k2 * (k + 3k2 + k3) + k3(k + 3k2 + k3))
a = ((k * -1k + 3k2 * -1k + k3 * -1k) + 3k2 * (k + 3k2 + k3) + k3(k + 3k2 + k3))
a = ((-1k2 + -3k3 + -1k4) + 3k2 * (k + 3k2 + k3) + k3(k + 3k2 + k3))
a = (-1k2 + -3k3 + -1k4 + (k * 3k2 + 3k2 * 3k2 + k3 * 3k2) + k3(k + 3k2 + k3))
a = (-1k2 + -3k3 + -1k4 + (3k3 + 9k4 + 3k5) + k3(k + 3k2 + k3))
a = (-1k2 + -3k3 + -1k4 + 3k3 + 9k4 + 3k5 + (k * k3 + 3k2 * k3 + k3 * k3))
a = (-1k2 + -3k3 + -1k4 + 3k3 + 9k4 + 3k5 + (k4 + 3k5 + k6))

Reorder the terms:
a = (-1k2 + -3k3 + 3k3 + -1k4 + 9k4 + k4 + 3k5 + 3k5 + k6)

Combine like terms: -3k3 + 3k3 = 0
a = (-1k2 + 0 + -1k4 + 9k4 + k4 + 3k5 + 3k5 + k6)
a = (-1k2 + -1k4 + 9k4 + k4 + 3k5 + 3k5 + k6)

Combine like terms: -1k4 + 9k4 = 8k4
a = (-1k2 + 8k4 + k4 + 3k5 + 3k5 + k6)

Combine like terms: 8k4 + k4 = 9k4
a = (-1k2 + 9k4 + 3k5 + 3k5 + k6)

Combine like terms: 3k5 + 3k5 = 6k5
a = (-1k2 + 9k4 + 6k5 + k6)

Solving
a = -1k2 + 9k4 + 6k5 + k6

Solving for variable 'a'.

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

Simplifying
a = -1k2 + 9k4 + 6k5 + k6

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