n=(-i+4j-k)*(i+-2j+3k)

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Solution for n=(-i+4j-k)*(i+-2j+3k) equation: 


Simplifying
n = (-1i + 4j + -1k)(i + -2j + 3k)

Multiply (-1i + 4j + -1k) * (i + -2j + 3k)
n = (-1i * (i + -2j + 3k) + 4j * (i + -2j + 3k) + -1k * (i + -2j + 3k))
n = ((i * -1i + -2j * -1i + 3k * -1i) + 4j * (i + -2j + 3k) + -1k * (i + -2j + 3k))

Reorder the terms:
n = ((2ij + -3ik + -1i2) + 4j * (i + -2j + 3k) + -1k * (i + -2j + 3k))
n = ((2ij + -3ik + -1i2) + 4j * (i + -2j + 3k) + -1k * (i + -2j + 3k))
n = (2ij + -3ik + -1i2 + (i * 4j + -2j * 4j + 3k * 4j) + -1k * (i + -2j + 3k))

Reorder the terms:
n = (2ij + -3ik + -1i2 + (4ij + 12jk + -8j2) + -1k * (i + -2j + 3k))
n = (2ij + -3ik + -1i2 + (4ij + 12jk + -8j2) + -1k * (i + -2j + 3k))
n = (2ij + -3ik + -1i2 + 4ij + 12jk + -8j2 + (i * -1k + -2j * -1k + 3k * -1k))
n = (2ij + -3ik + -1i2 + 4ij + 12jk + -8j2 + (-1ik + 2jk + -3k2))

Reorder the terms:
n = (2ij + 4ij + -3ik + -1ik + -1i2 + 12jk + 2jk + -8j2 + -3k2)

Combine like terms: 2ij + 4ij = 6ij
n = (6ij + -3ik + -1ik + -1i2 + 12jk + 2jk + -8j2 + -3k2)

Combine like terms: -3ik + -1ik = -4ik
n = (6ij + -4ik + -1i2 + 12jk + 2jk + -8j2 + -3k2)

Combine like terms: 12jk + 2jk = 14jk
n = (6ij + -4ik + -1i2 + 14jk + -8j2 + -3k2)

Solving
n = 6ij + -4ik + -1i2 + 14jk + -8j2 + -3k2

Solving for variable 'n'.

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

Simplifying
n = 6ij + -4ik + -1i2 + 14jk + -8j2 + -3k2

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