(i-4j+8k)x(-ixk)=

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Solution for (i-4j+8k)x(-ixk)= equation:


Simplifying
(i + -4j + 8k) * x(-1ixk) = 0

Remove parenthesis around (-1ikx)
(i + -4j + 8k) * x * -1ikx = 0

Reorder the terms for easier multiplication:
-1x * ikx(i + -4j + 8k) = 0

Multiply x * ikx
-1ikx2(i + -4j + 8k) = 0
(i * -1ikx2 + -4j * -1ikx2 + 8k * -1ikx2) = 0

Reorder the terms:
(4ijkx2 + -8ik2x2 + -1i2kx2) = 0
(4ijkx2 + -8ik2x2 + -1i2kx2) = 0

Solving
4ijkx2 + -8ik2x2 + -1i2kx2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), 'ikx2'.
ikx2(4j + -8k + -1i) = 0

Subproblem 1

Set the factor 'ikx2' equal to zero and attempt to solve: Simplifying ikx2 = 0 Solving ikx2 = 0 Move all terms containing i to the left, all other terms to the right. Simplifying ikx2 = 0 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 '(4j + -8k + -1i)' equal to zero and attempt to solve: Simplifying 4j + -8k + -1i = 0 Reorder the terms: -1i + 4j + -8k = 0 Solving -1i + 4j + -8k = 0 Move all terms containing i to the left, all other terms to the right. Add '-4j' to each side of the equation. -1i + 4j + -4j + -8k = 0 + -4j Combine like terms: 4j + -4j = 0 -1i + 0 + -8k = 0 + -4j -1i + -8k = 0 + -4j Remove the zero: -1i + -8k = -4j Add '8k' to each side of the equation. -1i + -8k + 8k = -4j + 8k Combine like terms: -8k + 8k = 0 -1i + 0 = -4j + 8k -1i = -4j + 8k Divide each side by '-1'. i = 4j + -8k Simplifying i = 4j + -8k

Solution

i = {4j + -8k}

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